@article{BSMF_1962__90__193_0, author = {Andreotti, Aldo and Grauert, Hans}, title = {Th\'eor\`emes de finitude pour la cohomologie des espaces complexes}, journal = {Bulletin de la Soci\'et\'e Math\'ematique de France}, pages = {193--259}, publisher = {Soci\'et\'e math\'ematique de France}, volume = {90}, year = {1962}, doi = {10.24033/bsmf.1581}, mrnumber = {27 #343}, zbl = {0106.05501}, language = {fr}, url = {https://www.numdam.org/articles/10.24033/bsmf.1581/} }
TY - JOUR AU - Andreotti, Aldo AU - Grauert, Hans TI - Théorèmes de finitude pour la cohomologie des espaces complexes JO - Bulletin de la Société Mathématique de France PY - 1962 SP - 193 EP - 259 VL - 90 PB - Société mathématique de France UR - https://www.numdam.org/articles/10.24033/bsmf.1581/ DO - 10.24033/bsmf.1581 LA - fr ID - BSMF_1962__90__193_0 ER -
%0 Journal Article %A Andreotti, Aldo %A Grauert, Hans %T Théorèmes de finitude pour la cohomologie des espaces complexes %J Bulletin de la Société Mathématique de France %D 1962 %P 193-259 %V 90 %I Société mathématique de France %U https://www.numdam.org/articles/10.24033/bsmf.1581/ %R 10.24033/bsmf.1581 %G fr %F BSMF_1962__90__193_0
Andreotti, Aldo; Grauert, Hans. Théorèmes de finitude pour la cohomologie des espaces complexes. Bulletin de la Société Mathématique de France, Tome 90 (1962), pp. 193-259. doi : 10.24033/bsmf.1581. https://www.numdam.org/articles/10.24033/bsmf.1581/
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- Analytic cohomology groups in top degrees of Zariski open sets in
, Mathematische Zeitschrift, Volume 264 (2010) no. 3, p. 671 | DOI:10.1007/s00209-009-0484-0 - Holomorphic Morse Inequalities and Asymptotic Cohomology Groups: A Tribute to Bernhard Riemann, Milan Journal of Mathematics, Volume 78 (2010) no. 1, p. 265 | DOI:10.1007/s00032-010-0118-3
- A relative Oka-Grauert principle for holomorphic submersions over 1-convex spaces, Transactions of the American Mathematical Society, Volume 362 (2010) no. 8, p. 4213 | DOI:10.1090/s0002-9947-10-04871-3
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- Sur la transformation d'Abel–Radon des courants localement résiduels en codimension supérieure, Comptes Rendus. Mathématique, Volume 345 (2007) no. 2, p. 81 | DOI:10.1016/j.crma.2007.04.011
- Holomorphic curves in complex spaces, Duke Mathematical Journal, Volume 139 (2007) no. 2 | DOI:10.1215/s0012-7094-07-13921-8
- Holomorphic Morse Inequalities on Non-compact Manifolds, Holomorphic Morse Inequalities and Bergman Kernels, Volume 254 (2007), p. 127 | DOI:10.1007/978-3-7643-8115-8_4
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- On a separation criterion for cohomology groups of (q, n - q)-coronae, Indagationes Mathematicae, Volume 18 (2007) no. 3, p. 471 | DOI:10.1016/s0019-3577(07)80035-8
- Convexity properties of coverings of 1-convex manifolds, Mathematische Zeitschrift, Volume 256 (2007) no. 3, p. 461 | DOI:10.1007/s00209-006-0069-0
- Cohomology and extension problems for semi q-coronae, Mathematische Zeitschrift, Volume 256 (2007) no. 4, p. 737 | DOI:10.1007/s00209-006-0097-9
- A Morse-theoretical proof of the Hartogs extension theorem, The Journal of Geometric Analysis, Volume 17 (2007) no. 3 | DOI:10.1007/bf02922095
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- Cohomology of locallyq-complete sets in Stein manifolds, Complex Variables and Elliptic Equations, Volume 51 (2006) no. 2, p. 137 | DOI:10.1080/02781070500397660
- Vanishing theorems for higher cohomology groups of the structural sheaf on certain complex topological vector spaces, Complex Variables and Elliptic Equations, Volume 51 (2006) no. 2, p. 99 | DOI:10.1080/02781070500368208
- Several Complex Variables: Basic Geometric Theory, Encyclopedia of Mathematical Physics (2006), p. 540 | DOI:10.1016/b0-12-512666-2/00469-7
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- Twistor theory of symplectic manifolds, Journal of Geometry and Physics, Volume 56 (2006) no. 2, p. 214 | DOI:10.1016/j.geomphys.2005.01.007
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- Local solvability of the -equation with boundary regularity on weakly q-convex domains, Mathematische Annalen, Volume 334 (2006) no. 1, p. 143 | DOI:10.1007/s00208-005-0711-x
- Isolated complex singularities and their CR links, Science in China Series A: Mathematics, Volume 49 (2006) no. 11, p. 1441 | DOI:10.1007/s11425-006-2054-9
- A criterion for Moishezon spaces with isolated singularities, Annali di Matematica Pura ed Applicata, Volume 184 (2005) no. 1, p. 1 | DOI:10.1007/s10231-003-0087-z
- Cousin I condition and Stein spaces, Complex Variables, Theory and Application: An International Journal, Volume 50 (2005) no. 1, p. 23 | DOI:10.1080/02781070412331331318
- Regularity at the boundary for v onQ-pseudoconvex domainsonQ-pseudoconvex domains, Journal d'Analyse Mathématique, Volume 95 (2005) no. 1, p. 45 | DOI:10.1007/bf02791496
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- A relative Oka-Grauert principle on 1-convex spaces, Journal für die reine und angewandte Mathematik (Crelles Journal), Volume 2003 (2003) no. 564 | DOI:10.1515/crll.2003.095
- A history of existence theorems for the Cauchy-Riemann complex inL 2 spaces, Journal of Geometric Analysis, Volume 13 (2003) no. 2, p. 329 | DOI:10.1007/bf02930700
- Holomorphic Banach bundles on finite–dimensional q–complete complex manifolds, Mathematische Nachrichten, Volume 256 (2003) no. 1, p. 3 | DOI:10.1002/mana.200310065
- Central Kähler metrics, Transactions of the American Mathematical Society, Volume 355 (2003) no. 6, p. 2161 | DOI:10.1090/s0002-9947-03-03161-1
- A separation theorem and Serre duality for the Dolbeault cohomology, Arkiv för Matematik, Volume 40 (2002) no. 2, p. 301 | DOI:10.1007/bf02384538
- Cycle Spaces of Real Forms of SLn(ℂ), Complex Geometry (2002), p. 111 | DOI:10.1007/978-3-642-56202-0_8
- Principe de Hartogs dans les variétés CR, Journal de Mathématiques Pures et Appliquées, Volume 81 (2002) no. 12, p. 1313 | DOI:10.1016/s0021-7824(02)01273-4
- A generalization to the q-convex case of a theorem of Fornæss and Narasimhan, Michigan Mathematical Journal, Volume 50 (2002) no. 3 | DOI:10.1307/mmj/1039029978
- On the cohomological completeness of q-complete domains with corners, Nagoya Mathematical Journal, Volume 168 (2002), p. 105 | DOI:10.1017/s0027763000008382
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- Strictly Pseudoconvex Domains in ℂ n, The Cauchy-Riemann Complex, Volume 34 (2002), p. 73 | DOI:10.1007/978-3-322-91608-2_4
- Cohomologie L2 sur les revêtements d’une varie’ete’ complexe compacte, Arkiv för Matematik, Volume 39 (2001) no. 2, p. 263 | DOI:10.1007/bf02384557
- Morse inequalities for covering manifolds, Nagoya Mathematical Journal, Volume 163 (2001), p. 145 | DOI:10.1017/s0027763000007947
- On the relative homology of q-Runge pairs, Arkiv för Matematik, Volume 38 (2000) no. 1, p. 45 | DOI:10.1007/bf02384489
- The Malgrange vanishing theorem with support conditions, Complex Analysis and Geometry, Volume 188 (2000), p. 151 | DOI:10.1007/978-3-0348-8436-5_10
- Variétés et Espaces Analytiques Complexes, Development of Mathematics, 1950–2000 (2000), p. 359 | DOI:10.1007/978-3-0348-8968-1_14
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problem withC ∞ regularity up to the boundary on wedges of ℂNproblem withC ∞ regularity up to the boundary on wedges of ℂN, Israel Journal of Mathematics, Volume 115 (2000) no. 1, p. 321 | DOI:10.1007/bf02810593 - C∞ Solvability of the ∂̄ System on Wedges of CN, Journal of Mathematical Analysis and Applications, Volume 242 (2000) no. 2, p. 145 | DOI:10.1006/jmaa.1999.6629
- Locally trivial fibrations with singular 1-dimensional Stein fiber over q-complete spaces, Nagoya Mathematical Journal, Volume 157 (2000), p. 1 | DOI:10.1017/s0027763000007157
- Some remarks on complex Lie groups, Nagoya Mathematical Journal, Volume 157 (2000), p. 47 | DOI:10.1017/s0027763000007170
- Conormal suspensions of differential complexes, The Journal of Geometric Analysis, Volume 10 (2000) no. 3, p. 481 | DOI:10.1007/bf02921946
- On Carleman formulas for the Dolbeault Cohomology, ANNALI DELL UNIVERSITA DI FERRARA, Volume 45 (1999) no. 1, p. 253 | DOI:10.1007/bf02826098
- A Levi problem for continuous strongly q-plurisubharmonic functions, Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, Volume 328 (1999) no. 7, p. 573 | DOI:10.1016/s0764-4442(99)80249-3
- Sur un théorème de Forn˦ss et Narasimhan, Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, Volume 329 (1999) no. 1, p. 11 | DOI:10.1016/s0764-4442(99)80452-2
- Cohomological induction in various categories and the maximal globalization conjecture, Duke Mathematical Journal, Volume 96 (1999) no. 1 | DOI:10.1215/s0012-7094-99-09601-1
- -problem on weakly 1-complete Kähler manifolds, Nagoya Mathematical Journal, Volume 155 (1999), p. 81 | DOI:10.1017/s0027763000007005
- The Theory of Teichmüller Spaces A View Towards Moduli Spaces of Kähler Manifolds, Complex Manifolds (1998), p. 251 | DOI:10.1007/978-3-642-61299-2_5
- Théorèmes d'annulation pour les faisceaux algébriquement constructibles, Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, Volume 327 (1998) no. 8, p. 759 | DOI:10.1016/s0764-4442(98)80165-1
- Flag Manifolds and Representation Theory, Geometry and Representation Theory of Real and p-adic groups, Volume 158 (1998), p. 273 | DOI:10.1007/978-1-4612-4162-1_14
- L 2-estimates with Levi-singular weight, and existence for
, Journal d'Analyse Mathématique, Volume 74 (1998) no. 1, p. 99 | DOI:10.1007/bf02819447 - Neighborhoods of Leviq-convex domains, Journal of Geometric Analysis, Volume 8 (1998) no. 1, p. 163 | DOI:10.1007/bf02922113
- The 𝐿² ∂̄-method, weak Lefschetz theorems, and the topology of Kähler manifolds, Journal of the American Mathematical Society, Volume 11 (1998) no. 2, p. 375 | DOI:10.1090/s0894-0347-98-00257-4
- Vanishing theorems for constructible sheaves. II., Kodai Mathematical Journal, Volume 21 (1998) no. 2 | DOI:10.2996/kmj/1138043875
- PROPAGATION ALONG COMPLEX CURVES ON A HYPERSURFACE, Kyushu Journal of Mathematics, Volume 52 (1998) no. 1, p. 15 | DOI:10.2206/kyushujm.52.15
- One dimensional fibering over q-complete spaces, Nagoya Mathematical Journal, Volume 151 (1998), p. 99 | DOI:10.1017/s0027763000025198
- Convessità olomorfa ed il problema dell’immersione di uno spazio complesso, Rendiconti del Seminario Matematico e Fisico di Milano, Volume 68 (1998) no. 1, p. 179 | DOI:10.1007/bf02925835
- Cohomological q-convexity versus local q-completeness with corners, Results in Mathematics, Volume 33 (1998) no. 1-2, p. 161 | DOI:10.1007/bf03322080
- Existence of 2-complete neighborhoods for pseudoconvex domains, The Journal of Geometric Analysis, Volume 8 (1998) no. 1, p. 21 | DOI:10.1007/bf02922106
- Comments on Hans Hahn’s work in complex analysis Ludger Kaup, Hans Hahn Gesammelte Abhandlungen (1997), p. 363 | DOI:10.1007/978-3-7091-6548-5_18
- LOCALLY q-COMPLETE OPEN SETS IN STEIN SPACES WITH ISOLATED SINGULARITIES, Kyushu Journal of Mathematics, Volume 51 (1997) no. 2, p. 355 | DOI:10.2206/kyushujm.51.355
- On Barth’s conjecture concerining, Nagoya Mathematical Journal, Volume 145 (1997), p. 99 | DOI:10.1017/s0027763000006127
- On the Cauchy problem in complex analysis, Annali di Matematica Pura ed Applicata, Volume 171 (1996) no. 1, p. 159 | DOI:10.1007/bf01759386
- K�hlerianity of q-Stein spaces, Archiv der Mathematik, Volume 66 (1996) no. 3, p. 250 | DOI:10.1007/bf01195712
- Holomorphicq-hulls in top degrees, Manuscripta Mathematica, Volume 91 (1996) no. 1, p. 195 | DOI:10.1007/bf02567949
- q-completeness andq-concavity of the union of open subspaces, Mathematische Zeitschrift, Volume 221 (1996) no. 1, p. 217 | DOI:10.1007/bf02622112
- Foliations with complex leaves, Differential Geometry and its Applications, Volume 5 (1995) no. 1, p. 33 | DOI:10.1016/0926-2245(95)00004-n
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- Simple sheaves along dihedral Lagrangians, Journal d'Analyse Mathématique, Volume 66 (1995) no. 1, p. 331 | DOI:10.1007/bf02788828
- Oka's inequality for currents and applications, Mathematische Annalen, Volume 301 (1995) no. 1, p. 399 | DOI:10.1007/bf01446636
- On the Cauchy‐Riemann Equation in Tangentialq‐Concave Wedges, Mathematische Nachrichten, Volume 176 (1995) no. 1, p. 159 | DOI:10.1002/mana.19951760113
- Résolution locale du
avec régularité Gevrey au bord d’un domainer-convexeavec régularité Gevrey au bord d’un domainer-convexe, Mathematische Zeitschrift, Volume 218 (1995) no. 1, p. 305 | DOI:10.1007/bf02571906 - Aneurysms of pseudoconcaveCR manifolds, Mathematische Zeitschrift, Volume 220 (1995) no. 1, p. 347 | DOI:10.1007/bf02572620
- Behnke-Stein theorem on complex spaces with singularities, Nagoya Mathematical Journal, Volume 137 (1995), p. 183 | DOI:10.1017/s0027763000005110
- Kähler Moišezon spaces which are projective algebraic, Proceedings of the American Mathematical Society, Volume 123 (1995) no. 3, p. 779 | DOI:10.1090/s0002-9939-1995-1242109-7
- Bibliography, The Adjunction Theory of Complex Projective Varieties (1995), p. 355 | DOI:10.1515/9783110871746.355
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- Compact Subvarieties in Flag Domains, Lie Theory and Geometry (1994), p. 577 | DOI:10.1007/978-1-4612-0261-5_22
- The L2–problem on manifolds with piecewise strictly pseudoconvex boundaries, Mathematical Proceedings of the Cambridge Philosophical Society, Volume 116 (1994) no. 1, p. 147 | DOI:10.1017/s0305004100072443
- Some convexity properties of morphisms of complex spaces, Mathematische Zeitschrift, Volume 217 (1994) no. 1, p. 215 | DOI:10.1007/bf02571943
- Cohomology, Several Complex Variables VII, Volume 74 (1994), p. 145 | DOI:10.1007/978-3-662-09873-8_4
- Theory of q-Convexity and q-Concavity, Several Complex Variables VII, Volume 74 (1994), p. 259 | DOI:10.1007/978-3-662-09873-8_7
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- A stronger result than Grauert-Narasimhan's solution to levi problem, Acta Mathematica Sinica, Volume 9 (1993) no. 3, p. 261 | DOI:10.1007/bf02582904
- On the equivalence of the definitions ofq-convex spaces, Archiv der Mathematik, Volume 61 (1993) no. 6, p. 567 | DOI:10.1007/bf01196595
- Approximation and Extension of Whitney CR Forms, Complex Analysis and Geometry (1993), p. 271 | DOI:10.1007/978-1-4757-9771-8_10
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au bord d'un domaine de ? n dont la forme de Levi a exactements valeurs propres strictement n�gatives, Mathematische Annalen, Volume 295 (1993) no. 1, p. 135 | DOI:10.1007/bf01444880 - Convexit� holomorphe intermediaire, Mathematische Annalen, Volume 296 (1993) no. 1, p. 649 | DOI:10.1007/bf01445127
- A Jump Theorem with Uniform Estimates for empty
b‐closed Forms on Real Hypersurfaces, Mathematische Nachrichten, Volume 162 (1993) no. 1, p. 109 | DOI:10.1002/mana.19931620108 - Hölder andL p -estimates for the
-equation on non-smooth strictlyq-convex domainson non-smooth strictlyq-convex domains, Manuscripta Mathematica, Volume 74 (1992) no. 1, p. 177 | DOI:10.1007/bf02567666 - n-Concavity ofn-dimensional complex spaces, Mathematische Zeitschrift, Volume 210 (1992) no. 1, p. 203 | DOI:10.1007/bf02571792
- Localq-completeness of complements of smooth CR-submanifolds, Mathematische Zeitschrift, Volume 210 (1992) no. 1, p. 529 | DOI:10.1007/bf02571812
- Approximation and cohomology vanishing properties of low-dimensional compact sets in a Stein manifold, Mathematische Zeitschrift, Volume 211 (1992) no. 1, p. 523 | DOI:10.1007/bf02571443
- Homology and cohomology with compact supports forq-convex spaces, Annali di Matematica Pura ed Applicata, Volume 159 (1991) no. 1, p. 229 | DOI:10.1007/bf01766303
- Zur Klassifikation der 1-konvexen komplexen Räume, Complex Analysis, Volume 1 (1991), p. 115 | DOI:10.1007/978-3-322-86856-5_20
- Regularity for the Harvey-Lawson solutions to the complex Plateau problem, Journal of Differential Geometry, Volume 34 (1991) no. 2 | DOI:10.4310/jdg/1214447215
- Tuboids of
with cone property and domains of holomorphy, Proceedings of the Japan Academy, Series A, Mathematical Sciences, Volume 67 (1991) no. 6 | DOI:10.3792/pjaa.67.217 - Flat twistor spaces, conformally flat manifolds and four-dimensional field theory, Communications in Mathematical Physics, Volume 133 (1990) no. 1, p. 75 | DOI:10.1007/bf02096555
- On two conjectures of Hartshorne's, Mathematische Annalen, Volume 286 (1990) no. 1-3, p. 13 | DOI:10.1007/bf01453563
- Residue integral formulas and the Radon transform for differential forms onq-linearly concave domains, Mathematische Annalen, Volume 286 (1990) no. 1-3, p. 225 | DOI:10.1007/bf01453574
- Multiplicity-free complex manifolds, Mathematische Annalen, Volume 286 (1990) no. 1-3, p. 261 | DOI:10.1007/bf01453576
- Formal-algebraic and rigid-analytic geometry, Mathematische Annalen, Volume 286 (1990) no. 1-3, p. 341 | DOI:10.1007/bf01453580
- Cohomology ofq-convex spaces in top degrees, Mathematische Zeitschrift, Volume 204 (1990) no. 1, p. 283 | DOI:10.1007/bf02570874
- Deformations of a complex manifold near a strongly pseudo-convex real hypersurface and a realization of Kuranishi family of strongly pseudo-convex CR structures, Mathematische Zeitschrift, Volume 205 (1990) no. 1, p. 593 | DOI:10.1007/bf02571265
- PSEUDOCONVEX RIEMANN DOMAINS OF GENERAL ORDER OVER STEIN MANIFOLDS, Memoirs of the Faculty of Science, Kyushu University. Series A, Mathematics, Volume 44 (1990) no. 2, p. 95 | DOI:10.2206/kyushumfs.44.95
- Topics in Complex Differential Geometry, Recent Topics in Differential and Analytic Geometry (1990), p. 1 | DOI:10.1016/b978-0-12-001018-9.50007-5
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- K�hler spaces and proper open morphisms, Mathematische Annalen, Volume 283 (1989) no. 1, p. 13 | DOI:10.1007/bf01457500
- Algebraische Variet�ten undq-vollst�ndige komplexe R�ume, Mathematische Zeitschrift, Volume 200 (1989) no. 4, p. 547 | DOI:10.1007/bf01160955
- Solution of the
-Equation with uniform estimates on strictlyq-convex domains with non-smooth boundary, Mathematische Zeitschrift, Volume 202 (1989) no. 3, p. 409 | DOI:10.1007/bf01159970 - Pseudoconvex domains of general order in Stein manifolds, Memoirs of the Faculty of Science, Kyushu University. Series A, Mathematics, Volume 43 (1989) no. 2, p. 67 | DOI:10.2206/kyushumfs.43.67
- Compactifications of ?3. I, Mathematische Annalen, Volume 280 (1988) no. 1, p. 129 | DOI:10.1007/bf01474185
- Hodge spectral sequence on pseudoconvex domains, Mathematische Zeitschrift, Volume 197 (1988) no. 1, p. 1 | DOI:10.1007/bf01161626
- Extension d'objets CR, Mathematische Zeitschrift, Volume 194 (1987) no. 4, p. 471 | DOI:10.1007/bf01161916
- q-Completeness of subsets in complex projective space, Mathematische Zeitschrift, Volume 195 (1987) no. 3, p. 443 | DOI:10.1007/bf01161771
- Study of Sheaves of Solutions of Microdifferential Systems, Advances in Microlocal Analysis (1986), p. 271 | DOI:10.1007/978-94-009-4606-4_11
- Tangential Cauchy-Riemann complexes on distributions, Annali di Matematica Pura ed Applicata, Volume 146 (1986) no. 1, p. 123 | DOI:10.1007/bf01762362
- Concavity, convexity and complements in complex spaces, Complex Analysis and Algebraic Geometry, Volume 1194 (1986), p. 104 | DOI:10.1007/bfb0076998
- Subvarieties in homogeneous manifolds, Complex Analysis and Algebraic Geometry, Volume 1194 (1986), p. 127 | DOI:10.1007/bfb0076999
- Modulräume holomorpher Abbildungen auf komplexen Mannigfaltigkeiten mit 1-konkavem Rand, Complex Analysis and Algebraic Geometry, Volume 1194 (1986), p. 56 | DOI:10.1007/bfb0076995
- Residu et dualité, Fonctions de Plusieurs Variables Complexes V, Volume 1188 (1986), p. 1 | DOI:10.1007/bfb0076818
- Continuousq-convex exhaustion functions, Inventiones Mathematicae, Volume 85 (1986) no. 2, p. 249 | DOI:10.1007/bf01389090
- A comparison theorem, Mathematische Annalen, Volume 273 (1986) no. 2, p. 271 | DOI:10.1007/bf01451406
- Smoothingq-convex functions in the singular case, Mathematische Annalen, Volume 273 (1986) no. 4, p. 665 | DOI:10.1007/bf01472137
- Local cohomology along exceptional sets, Mathematische Annalen, Volume 275 (1986) no. 4, p. 673 | DOI:10.1007/bf01459144
- Forme hermitienne canonique sur la cohomologie de la fibre de Milnor d'une hypersurface � singularit� isol�e, Inventiones Mathematicae, Volume 81 (1985) no. 1, p. 115 | DOI:10.1007/bf01388775
- Smoothingq-convex functions and vanishing theorems, Inventiones Mathematicae, Volume 82 (1985) no. 2, p. 291 | DOI:10.1007/bf01388805
- A vanishing theorem for a class of systems with simple characteristics, Inventiones Mathematicae, Volume 82 (1985) no. 3, p. 579 | DOI:10.1007/bf01388871
- On compact complex 3-folds with lines, Japanese journal of mathematics. New series, Volume 11 (1985) no. 1, p. 1 | DOI:10.4099/math1924.11.1
- Levi-curvature of manifolds with a Stein rational fibration, Manuscripta Mathematica, Volume 50 (1985) no. 1, p. 269 | DOI:10.1007/bf01168834
- Strongly plurisubharmonic exhaustion functions on 1-convex spaces, Mathematische Annalen, Volume 270 (1985) no. 1, p. 63 | DOI:10.1007/bf01455528
- Der Kodairasche Verschwindungssatz auf streng pseudokonvexen R�umen. II, Mathematische Annalen, Volume 270 (1985) no. 4, p. 603 | DOI:10.1007/bf01455307
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- Poincar� lemma for tangential Cauchy Riemann complexes, Mathematische Annalen, Volume 268 (1984) no. 4, p. 449 | DOI:10.1007/bf01451852
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- Holomorphic separation and the union problem, Proceedings of the American Mathematical Society, Volume 92 (1984) no. 4, p. 538 | DOI:10.1090/s0002-9939-1984-0760941-3
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- Function Theory on Noncompact Kähler Manifolds, Complex Differential Geometry, Volume 3 (1983), p. 67 | DOI:10.1007/978-3-0348-6566-1_2
- Topics in four-dimensional Riemannian geometry, Geometry Seminar “Luigi Bianchi”, Volume 1022 (1983), p. 33 | DOI:10.1007/bfb0071601
- Singular unitary representations and indefinite harmonic theory, Journal of Functional Analysis, Volume 51 (1983) no. 1, p. 1 | DOI:10.1016/0022-1236(83)90029-0
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- A remark on the local Stein-ness problem, Mathematische Annalen, Volume 264 (1983) no. 3, p. 333 | DOI:10.1007/bf01459129
- Kählerian normal complex surfaces, Tohoku Mathematical Journal, Volume 35 (1983) no. 1 | DOI:10.2748/tmj/1178229104
- Kontinuitätssatz und Hüllen bei speziellen Hartogsschen Körpern, Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, Volume 52 (1982) no. 1, p. 179 | DOI:10.1007/bf02941875
- Finitely generated ideals in A∞(D), Advances in Mathematics, Volume 46 (1982) no. 2, p. 162 | DOI:10.1016/0001-8708(82)90021-4
- Milnor number and classification of isolated singularities of holomorphic maps, Harmonic Maps, Volume 949 (1982), p. 1 | DOI:10.1007/bfb0069753
- Ein Verschwindungssatz f�r gewisse Kohomologiegruppen in Umgebung kompakter komplexer Unterr�ume mit konvex/konkavem Normalenb�ndel, Mathematische Annalen, Volume 261 (1982) no. 3, p. 315 | DOI:10.1007/bf01455453
- The cohomological and analytic completeness ofP(?2? n )2 n ,, Mathematische Annalen, Volume 261 (1982) no. 3, p. 327 | DOI:10.1007/bf01455454
- On the dimension of analytic cohomology, Mathematische Zeitschrift, Volume 179 (1982) no. 3, p. 375 | DOI:10.1007/bf01215340
- Das Modulproblem f�r holomorphe Einbettungen mit konkaver Umgebungsstruktur, Mathematische Zeitschrift, Volume 180 (1982) no. 2, p. 307 | DOI:10.1007/bf01214172
- Complex subspaces of homogeneous complex manifolds II—Homotopy Results, Nagoya Mathematical Journal, Volume 86 (1982), p. 101 | DOI:10.1017/s0027763000019814
- Cohomology and massless fields, Communications in Mathematical Physics, Volume 78 (1981) no. 3, p. 305 | DOI:10.1007/bf01942327
- Hyperfunction solutions of the zero-rest-mass field equations, Communications in Mathematical Physics, Volume 78 (1981) no. 4, p. 567 | DOI:10.1007/bf02046765
- A reduction theorem for cohomology groups of very stronglyq-convex K�hler manifolds, Inventiones Mathematicae, Volume 63 (1981) no. 2, p. 335 | DOI:10.1007/bf01393882
- Hyper-
-convex domains in Kähler manifolds, Journal of Differential Geometry, Volume 16 (1981) no. 4 | DOI:10.4310/jdg/1214436367 - Deformations and equitopological deformations of strongly pseudoconvex manifolds, Nagoya Mathematical Journal, Volume 82 (1981), p. 113 | DOI:10.1017/s0027763000019310
- Holomorphic actions of 𝑆𝑝(𝑛,𝑅) with noncompact isotropy groups, Transactions of the American Mathematical Society, Volume 263 (1981) no. 1, p. 207 | DOI:10.1090/s0002-9947-1981-0590420-x
- Cohomologically complete and pseudoconvex domains, Commentarii Mathematici Helvetici, Volume 55 (1980) no. 1, p. 413 | DOI:10.1007/bf02566697
- Pseudoconvexity in the theory of complex spaces, Journal of Soviet Mathematics, Volume 14 (1980) no. 4, p. 1363 | DOI:10.1007/bf01261430
- On plurigenera of normal isolated singularities. I, Mathematische Annalen, Volume 250 (1980) no. 1, p. 65 | DOI:10.1007/bf01422185
- Dualität in der lokalen Kohomologie isolierter Singularitäten, Mathematische Annalen, Volume 250 (1980) no. 2, p. 157 | DOI:10.1007/bf01364456
- Dualität in der lokalen Kohomologie isolierter Singularitäten, Mathematische Annalen, Volume 250 (1980) no. 3, p. 157 | DOI:10.1007/bf02599793
- On plurigenera of normal isolated singularities. I, Mathematische Annalen, Volume 250 (1980) no. 3, p. 65 | DOI:10.1007/bf02599787
- L’opérateur sur une variété q-concave, Séminaire Pierre Lelong - Henri Skoda (Analyse) Années 1978/79, Volume 822 (1980), p. 169 | DOI:10.1007/bfb0097756
- An elementary method in the study of nonnegative curvature, Acta Mathematica, Volume 142 (1979) no. 0, p. 57 | DOI:10.1007/bf02395057
- Complex subspaces of homogeneous complex manifolds I. Transplanting theorems, Duke Mathematical Journal, Volume 46 (1979) no. 3 | DOI:10.1215/s0012-7094-79-04627-1
- Integral geometry for
-cohomology in q-linear concave domains in CPn, Functional Analysis and Its Applications, Volume 12 (1979) no. 4, p. 247 | DOI:10.1007/bf01076379 - Beschr�nkte L�sungen der Cauchy-Riemannschen Differentialgleichungen auf q-konkaven Gebieten, Manuscripta Mathematica, Volume 26 (1979) no. 4, p. 387 | DOI:10.1007/bf01170263
- Variétés mixtes, Romanian-Finnish Seminar on Complex Analysis, Volume 743 (1979), p. 431 | DOI:10.1007/bfb0079517
- Pseudoconcave homogeneous surfaces, Commentarii Mathematici Helvetici, Volume 53 (1978) no. 1, p. 429 | DOI:10.1007/bf02566088
- Harmonically induced representations of nilpotent lie groups, Inventiones Mathematicae, Volume 48 (1978) no. 1, p. 61 | DOI:10.1007/bf01390062
- Concavity theorems, Mathematische Annalen, Volume 235 (1978) no. 1, p. 37 | DOI:10.1007/bf01421592
- Local extension of solutions of systems of linear differential equations with constant coefficients, Communications on Pure and Applied Mathematics, Volume 30 (1977) no. 2, p. 235 | DOI:10.1002/cpa.3160300205
- A note on the inverse problem for the cohomology vanishing theorem, Kodai Mathematical Journal, Volume 28 (1977) no. 2-3 | DOI:10.2996/kmj/1138847437
- Cohomologie de la grassmannienne à valeurs dans les puissances extérieures et symétriques du fibré universel, Mathematische Annalen, Volume 226 (1977) no. 3, p. 257 | DOI:10.1007/bf01362429
- Density of morse functions on a complex space, Mathematische Annalen, Volume 229 (1977) no. 2, p. 135 | DOI:10.1007/bf01351598
- Komplexe Unterr�ume und holomorphe Vektorraumb�ndel vom Rang zwei, Mathematische Annalen, Volume 230 (1977) no. 1, p. 75 | DOI:10.1007/bf01420577
- Pseudoconvexity properties of complements of analytic subvarieties, Mathematische Annalen, Volume 230 (1977) no. 2, p. 107 | DOI:10.1007/bf01370658
- Vektorraumb�ndel �ber nichtarchimedischen holomorphen R�umen, Mathematische Zeitschrift, Volume 152 (1977) no. 2, p. 127 | DOI:10.1007/bf01214185
- Quasianalytic and Parametric Spaces, Real and complex singularities, Oslo 1976 (1977), p. 13 | DOI:10.1007/978-94-010-1289-8_2
- Approximationseigenschaft, Lifting und Kohomologie bei lokalkonvexen Produktgarben, Manuscripta Mathematica, Volume 19 (1976) no. 4, p. 319 | DOI:10.1007/bf01278923
- q-konvexe Restmengen in kompakten komplexen Mannigfaltigkeiten, Mathematische Annalen, Volume 221 (1976) no. 3, p. 251 | DOI:10.1007/bf01596392
- �ber die L�sbarkeit der
-Gleichung auf Ringgebieten mit Hilfe vonL P ,C k - undD?-stetigen Integraloperatoren, Mathematische Annalen, Volume 223 (1976) no. 2, p. 139 | DOI:10.1007/bf01360878 - Espaces fibrés linéaires faiblement négatifs sur un espace complexe, Transactions of the American Mathematical Society, Volume 215 (1976) no. 0, p. 45 | DOI:10.1090/s0002-9947-1976-0430332-3
- Integrales de formes differentielles d"-fermees sur les cycles analytiques compacts de certains ouverts de IPn(c), Fonctions de Plusieurs Variables Complexes II, Volume 482 (1975), p. 216 | DOI:10.1007/bfb0080248
- Inversion von Fredholmfunktionen bei stetiger und holomorpher Abh�ngigkeit von Parametern, Mathematische Annalen, Volume 214 (1975) no. 2, p. 95 | DOI:10.1007/bf01352647
- On the infinite dimensionality of the Dolbeault cohomology groups, Proceedings of the American Mathematical Society, Volume 52 (1975) no. 1, p. 293 | DOI:10.1090/s0002-9939-1975-0379887-2
- Un Théorème de Finitude pour les Morphismesq-Convexes, Commentarii Mathematici Helvetici, Volume 49 (1974) no. 1, p. 417 | DOI:10.1007/bf02566741
- Sur la coherence des images directes, Fonctions de Plusieurs Variables Complexes, Volume 409 (1974), p. 347 | DOI:10.1007/bfb0068110
- Theoremes de finitude pour les espaces p-convexes, q-concaves et (p,q)-convexes-concaves, Fonctions de Plusieurs Variables Complexes, Volume 409 (1974), p. 357 | DOI:10.1007/bfb0068111
- R�sidus et dualit�, Inventiones Mathematicae, Volume 26 (1974) no. 2, p. 89 | DOI:10.1007/bf01435691
- Lokale Kerne und beschr�nkte L�sungen f�r den
-Operator aufq-konvexen Gebieten, Mathematische Annalen, Volume 208 (1974) no. 3, p. 249 | DOI:10.1007/bf01419585 - C k approximation by holomorphic functions and
-closed forms onC k submanifolds of a complex manifold, Mathematische Annalen, Volume 210 (1974) no. 2, p. 105 | DOI:10.1007/bf01360034 - “ON STRONGLY q-PSEUDOCONVEX SPACES WITH POSITIVE VECTOR BUNDLES”, Memoirs of the Faculty of Science, Kyushu University. Series A, Mathematics, Volume 28 (1974) no. 2, p. 135 | DOI:10.2206/kyushumfs.28.135
- On Hodge structure of isolated singularity of complex hypersurface, Proceedings of the Japan Academy, Series A, Mathematical Sciences, Volume 50 (1974) no. 5-6 | DOI:10.3792/pja/1195518941
- Behnke-Stein theorem for analytic spaces, Transactions of the American Mathematical Society, Volume 199 (1974) no. 0, p. 317 | DOI:10.1090/s0002-9947-1974-0367286-2
- Bibliography, An Introduction to Complex Analysis in Several Variables, Volume 7 (1973), p. 208 | DOI:10.1016/s0924-6509(08)70260-5
- Komplexe Basen zu quasieigentlichen holomorphen Abbildungen, Commentarii Mathematici Helvetici, Volume 48 (1973) no. 1, p. 340 | DOI:10.1007/bf02566127
- Onk-pseudoflat complex spaces, Mathematische Annalen, Volume 200 (1973) no. 1, p. 1 | DOI:10.1007/bf01578288
- �ber eine Vermutung von Hartshorne, Mathematische Annalen, Volume 201 (1973) no. 3, p. 221 | DOI:10.1007/bf01427944
- Extending families of pseudoconcave complex spaces, Mathematische Annalen, Volume 204 (1973) no. 1, p. 13 | DOI:10.1007/bf01431486
- Cohomological dimension of group schemes, Nagoya Mathematical Journal, Volume 52 (1973), p. 47 | DOI:10.1017/s0027763000015877
- Some results in the theory of vector bundles, Nagoya Mathematical Journal, Volume 52 (1973), p. 97 | DOI:10.1017/s0027763000015919
- On a class of complex spaces intermediate to Stein and compact, Bulletin of the American Mathematical Society, Volume 78 (1972) no. 5, p. 852 | DOI:10.1090/s0002-9904-1972-13059-3
- Algebraic De Rham cohomology, Manuscripta Mathematica, Volume 7 (1972) no. 2, p. 125 | DOI:10.1007/bf01679709
- q-COMPLETE COMPLEX LIE GROUPS AND HOLOMORPHIC FIBRE BUNDLES OVER A STEIN MANIFOLD, Memoirs of the Faculty of Science, Kyushu University. Series A, Mathematics, Volume 26 (1972) no. 1, p. 102 | DOI:10.2206/kyushumfs.26.102
- La Dimension Cohomologique des Surfaces Algebriques, Nagoya Mathematical Journal, Volume 47 (1972), p. 155 | DOI:10.1017/s0027763000014975
- On the boundary value problem for elliptic system of linear differential equations, I, Proceedings of the Japan Academy, Series A, Mathematical Sciences, Volume 48 (1972) no. 10 | DOI:10.3792/pja/1195519516
- On the H. Lewy extension phenomenon, Transactions of the American Mathematical Society, Volume 168 (1972) no. 0, p. 337 | DOI:10.1090/s0002-9947-1972-0301234-4
- Ouverts concaves et théorèmes de dualité pour les systèmes différentiels à coefficients constants, Commentarii Mathematici Helvetici, Volume 46 (1971) no. 1, p. 487 | DOI:10.1007/bf02566861
- Pseudo-Hermitian symmetric spaces, Commentarii Mathematici Helvetici, Volume 46 (1971) no. 1, p. 529 | DOI:10.1007/bf02566863
- Dualit� relative en g�om�trie analytique complexe, Inventiones Mathematicae, Volume 13 (1971) no. 4, p. 261 | DOI:10.1007/bf01406078
- Systems of Linear Differential Equations, Mathematical Analysis (1971), p. 1 | DOI:10.1007/978-1-4757-1589-7_1
- The 1-convex generalization of Grauert's direct image theorem, Mathematische Annalen, Volume 190 (1971) no. 3, p. 203 | DOI:10.1007/bf01433210
- Halbstetigkeitssätze für 1-konvexe holomorphe Abbildungen, Mathematische Annalen, Volume 192 (1971) no. 3, p. 216 | DOI:10.1007/bf02052873
- Relativexzeptionelle analytische Mengen, Mathematische Annalen, Volume 193 (1971) no. 3, p. 238 | DOI:10.1007/bf02052395
- The divisor class groups of some rings of holomorphic functions, Mathematische Zeitschrift, Volume 121 (1971) no. 1, p. 58 | DOI:10.1007/bf01110367
- LINEAR PROBLEMS OF COMPLEX ANALYSIS, Russian Mathematical Surveys, Volume 26 (1971) no. 4, p. 99 | DOI:10.1070/rm1971v026n04abeh003983
- Some transcendental methods in the study of algebraic cycles, Several Complex Variables II Maryland 1970, Volume 185 (1971), p. 1 | DOI:10.1007/bfb0058762
- Parametrizing the compact submanifolds of a period matrix domain by a Stein manifold, Symposium on Several Complex Variables, Park City, Utah, 1970, Volume 184 (1971), p. 121 | DOI:10.1007/bfb0059282
- Generalizations of Grauert's direct image theorem, Symposium on Several Complex Variables, Park City, Utah, 1970, Volume 184 (1971), p. 151 | DOI:10.1007/bfb0059283
- Some Remarks on Pseudoconcave Manifolds, Essays on Topology and Related Topics (1970), p. 85 | DOI:10.1007/978-3-642-49197-9_8
- Die monodromie der isolierten singularit�ten von hyperfl�chen, Manuscripta Mathematica, Volume 2 (1970) no. 2, p. 103 | DOI:10.1007/bf01155695
- Ein Divisionsproblem und Randintegraldarstellungen in der komplexen Analysis, Mathematische Annalen, Volume 184 (1970) no. 3, p. 172 | DOI:10.1007/bf01351561
- Eine Bemerkung zu einem Satz von A. Andreotti und H. Grauert, Mathematische Annalen, Volume 184 (1970) no. 4, p. 297 | DOI:10.1007/bf01350857
- Der Abstand von einer algebraischen Mannigfaltigkeit im komplex-projektiven Raum, Mathematische Annalen, Volume 187 (1970) no. 2, p. 150 | DOI:10.1007/bf01350179
- Complexe dualisant et théorèmes de dualité en géométrie analytique complexe, Publications mathématiques de l'IHÉS, Volume 38 (1970) no. 1, p. 77 | DOI:10.1007/bf02684652
- Locally homogeneous complex manifolds, Acta Mathematica, Volume 123 (1969) no. 0, p. 253 | DOI:10.1007/bf02392390
- Extending coherent analytic sheaves through subvarieties, Bulletin of the American Mathematical Society, Volume 75 (1969) no. 1, p. 123 | DOI:10.1090/s0002-9904-1969-12171-3
- Strukturen auf Quotienten komplexer Räume, Commentarii Mathematici Helvetici, Volume 44 (1969) no. 1, p. 93 | DOI:10.1007/bf02564516
- Ein Endlichkeitssatz in der analytischen Geometrie, Inventiones Mathematicae, Volume 8 (1969) no. 2, p. 143 | DOI:10.1007/bf01404617
- Strongly pseudoconvex manifolds, Lectures in Modern Analysis and Applications I, Volume 103 (1969), p. 10 | DOI:10.1007/bfb0099982
- Absolute gap-sheaves and extensions of coherent analytic sheaves, Transactions of the American Mathematical Society, Volume 141 (1969) no. 0, p. 361 | DOI:10.1090/s0002-9947-1969-0243117-4
- Abgeschlossenheit von Corandmoduln und Fortsetzbarkeit koh�renter analytischer Garben, Inventiones Mathematicae, Volume 5 (1968) no. 3, p. 216 | DOI:10.1007/bf01425551
- Fortsetzung holomorpher Korrespondenzen, Inventiones Mathematicae, Volume 6 (1968) no. 1, p. 78 | DOI:10.1007/bf01389835
- Das topologische Tensorprodukt koh�renter analytischer Garben, Mathematische Zeitschrift, Volume 106 (1968) no. 4, p. 273 | DOI:10.1007/bf01110276
- The Continuation of sections of Torsion-Free Coherent Analytic Sheaves, Nagoya Mathematical Journal, Volume 31 (1968), p. 279 | DOI:10.1017/s0027763000012769
- On The Holomorphic Automorphism Groups of Complex Spaces, Nagoya Mathematical Journal, Volume 33 (1968), p. 85 | DOI:10.1017/s0027763000012873
- Extension of coherent analytic subsheaves, Proceedings of the American Mathematical Society, Volume 19 (1968) no. 6, p. 1262 | DOI:10.1090/s0002-9939-1968-0232966-9
- Variétés algébriques strictement Q-pseudoconvexes, Séminaire Pierre Lelong (Analyse) Année 1967–68, Volume 71 (1968), p. 94 | DOI:10.1007/bfb0080100
- Ein Kontinuitätssatz fÜr die Fortsetzung kohärenter analytischer Garben, Archiv der Mathematik, Volume 18 (1967) no. 2, p. 188 | DOI:10.1007/bf01899645
- Stetige streng pseudokonvexe Funktionen, Mathematische Annalen, Volume 175 (1967) no. 4, p. 257 | DOI:10.1007/bf02063212
- Solvability of the first Cousin problem and vanishing of higher cohomology groups for domains which are not domains of holomorphy. II, Bulletin of the American Mathematical Society, Volume 72 (1966) no. 3, p. 505 | DOI:10.1090/s0002-9904-1966-11518-5
- Some remarks about a theorem of Hartogs, Proceedings of the American Mathematical Society, Volume 17 (1966) no. 6, p. 1244 | DOI:10.1090/s0002-9939-1966-0201675-2
- 𝑞-complete spaces and cohomology, Transactions of the American Mathematical Society, Volume 125 (1966) no. 3, p. 432 | DOI:10.1090/s0002-9947-1966-0206335-4
- L2 estimates and existence theorems for the
operator, Acta Mathematica, Volume 113 (1965) no. 0, p. 89 | DOI:10.1007/bf02391775 - Attaching Analytic Spaces to an Analytic Space Along a Pseudoconcave Boundary, Proceedings of the Conference on Complex Analysis (1965), p. 242 | DOI:10.1007/978-3-642-48016-4_21
- Boundaries of Complex Manifolds, Proceedings of the Conference on Complex Analysis (1965), p. 81 | DOI:10.1007/978-3-642-48016-4_9
- Carleman estimates for the laplace-beltrami equation on complex manifolds, Publications mathématiques de l'IHÉS, Volume 25 (1965) no. 1, p. 81 | DOI:10.1007/bf02684398
- On deformations of discontinuous groups, Acta Mathematica, Volume 112 (1964) no. 0, p. 249 | DOI:10.1007/bf02391773
- Some characterizations of Stein manifold through the notion of locally regular boundary points, Kodai Mathematical Journal, Volume 16 (1964) no. 4 | DOI:10.2996/kmj/1138844946
- Bemerkenswerte pseudokonvexe Mannigfaltigkeiten, Mathematische Zeitschrift, Volume 81 (1963) no. 5, p. 377 | DOI:10.1007/bf01111528
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