@article{CM_1990__74_3_299_0, author = {Kosarew, Siegmund and Peternell, Thomas}, title = {Formal cohomology, analytic cohomology and non-algebraic manifolds}, journal = {Compositio Mathematica}, pages = {299--325}, publisher = {Kluwer Academic Publishers}, volume = {74}, number = {3}, year = {1990}, mrnumber = {1055698}, zbl = {0709.32009}, language = {en}, url = {http://archive.numdam.org/item/CM_1990__74_3_299_0/} }
TY - JOUR AU - Kosarew, Siegmund AU - Peternell, Thomas TI - Formal cohomology, analytic cohomology and non-algebraic manifolds JO - Compositio Mathematica PY - 1990 SP - 299 EP - 325 VL - 74 IS - 3 PB - Kluwer Academic Publishers UR - http://archive.numdam.org/item/CM_1990__74_3_299_0/ LA - en ID - CM_1990__74_3_299_0 ER -
%0 Journal Article %A Kosarew, Siegmund %A Peternell, Thomas %T Formal cohomology, analytic cohomology and non-algebraic manifolds %J Compositio Mathematica %D 1990 %P 299-325 %V 74 %N 3 %I Kluwer Academic Publishers %U http://archive.numdam.org/item/CM_1990__74_3_299_0/ %G en %F CM_1990__74_3_299_0
Kosarew, Siegmund; Peternell, Thomas. Formal cohomology, analytic cohomology and non-algebraic manifolds. Compositio Mathematica, Volume 74 (1990) no. 3, pp. 299-325. http://archive.numdam.org/item/CM_1990__74_3_299_0/
[A] Bifurcations of invariant manifolds of differential equations and normal forms in neighborhoods of elliptic curves. English transl. Funct. Anal. Appl. 10 (1977) 249-257. | Zbl
,[A-G] Théorèmes de finitude pour la cohomologie des espaces complexes. Bull. Soc. math. France 90 (1962) 193-259. | Numdam | MR | Zbl
and ,[B-K] Lokale Modulräume in der analytischen Geometrie. Vieweg Verlag, Braunschweig 1987. | Zbl
and ,[Ba] Duality for the hyperext on complex spaces. Rev. Roum. 31 (1986) 95-120. | MR | Zbl
,[Bn] Algebraic Methods in the Global Theory of Complex Spaces. Ed. Academiei Bucuresti, John Wiley & Sons, London-New York-Sydney- Toronto 1976. | MR | Zbl
and ,[Bo] Intersection cohomology. Progress in Math. 50, Birkhäuser 1984. | Zbl
et al.,[BPV] Compact complex surfaces. Erg. der Math. Vol. 4 Bonn -Heidelberg-New York, Springer 1984. | MR | Zbl
, , ,[E] Surfaces of class VII with curves. Tôhoku Math. J. 33 (1981) 453-492. | MR | Zbl
,[F] q-konvexe Restmengen in kompakten komplexen Mannigfaltigkeiten. Math. Ann. 221 (1976) 251-273. | MR | Zbl
,[Ha 1] Residues and Duality. Springer LN in Math. 20, Berling-Heidelbeg-New York, 1966. | MR | Zbl
,[Ha 2] Ample Subvarieties of Algebraic Varieties. Springer LN in Math. 156, Berlin-Heidelberg- New York, 1970. | MR | Zbl
,[Ha 3] Algebraic Geometry. Graduate Texts in Math. Springer 1977. | MR | Zbl
,[I-P 1] Neighborhoods of zero type in embedded complex tori. In: Topics in Modern Mathematics. Transl. from Petrovskii Sem. No. 5 (ed. O.A. Oleinik), New York 1985. | Zbl
and ,[I-P 2] Materialization of Poincaré resonances and divergence of normalizing series. Transl. from Petrovskii Sem. No. 7: J. Sov. Math. 31 (1985) 3053-3092. | Zbl
and ,[K 1] On the structure of compact complex analytic surfaces II. Amer, J. Math. 88 (1966) 682-721. | MR | Zbl
,[K 2] On the structure of compact complex analytic surfaces III Amer. J. Math. 90. (1969) 55-83. | MR | Zbl
,[K 3] Holomorphic mappings of polydiscs into compact complex manifolds. J. Diff. Geo. 6 (1971) 33-46. | MR | Zbl
,[Ka] Local Cohomology along Exceptional sets. Math. Ann. 275 (1986) 673-682. | MR | Zbl
,[Ko 1] Ein Verschwindungssatz für gewisse Kohomologiegruppen in Umgebung kompakter komplexer Unterräume mit konvex/konkavem Normalenbündel Math. Ann. 261 (1982) 315-326. | MR | Zbl
,[Ko 2] Konvergenz formaler komplexer Räume mit konvexem oder konkavem Normalenbündel. J. reine angew. Math. 340 (1983) 6-25. | MR | Zbl
,[Ko 3] Modulräume holomorpher Abbildungen auf konkaven komplexen Räumen. Ann. scient. Éc. Norm. Sup. 4e série 20 (1987) 285-310. | Numdam | MR | Zbl
,[N] Ueda theory: Theorems and Problems. AMS Memoirs 415 (1989). | MR | Zbl
,[Og] The Formal Hodge Filtration. Invent. Math. 31 (1976) 193-228. | MR | Zbl
,[P-S] Compactification of C3, I. Math. Ann. 280 (1988) 129-146. | MR | Zbl
and ,[R] Théorèmes de séparation et de finitude pour l'homologie et la cohomologie des espaces (p, q)-convexes-concaves. Ann. Sc. Norm. Sup. Pisa 27 (1973) 993-997. | Numdam | MR | Zbl
,[R-R 1] Complexe dualisant et théorèmes de dualité en géométrie analytique complexe. Publ. Math. I.H.E.S. 38 (1970) 77-91. | Numdam | MR | Zbl
and ,[R-R 2] Résidus et dualité. Invent. math. 26 (1974) 89-131. | MR | Zbl
and ,[R-R-V] Dualité relative en géométrie analytique complexe. Invent. Math. 13 (1971) 261-283. | MR | Zbl
, , and ,[U] On the neighborhood of a compact complex curve with topologically trivial normal bundle. J. Math. Kyoto Univ. 22 (1983) 583-607. | MR | Zbl
,[Ue] Classification theory of algebraic varieties and compact complex spaces. Lecture Notes in Math. vol. 439. Berlin-Heidelberg-New York, Springer 1975. | MR | Zbl
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