@article{BSMF_1958__86__137_0, author = {Grothendieck, Alexander}, title = {La th\'eorie des classes de {Chern}}, journal = {Bulletin de la Soci\'et\'e Math\'ematique de France}, pages = {137--154}, publisher = {Soci\'et\'e math\'ematique de France}, volume = {86}, year = {1958}, doi = {10.24033/bsmf.1501}, mrnumber = {22 #6818}, zbl = {0091.33201}, language = {fr}, url = {https://www.numdam.org/articles/10.24033/bsmf.1501/} }
TY - JOUR AU - Grothendieck, Alexander TI - La théorie des classes de Chern JO - Bulletin de la Société Mathématique de France PY - 1958 SP - 137 EP - 154 VL - 86 PB - Société mathématique de France UR - https://www.numdam.org/articles/10.24033/bsmf.1501/ DO - 10.24033/bsmf.1501 LA - fr ID - BSMF_1958__86__137_0 ER -
Grothendieck, Alexander. La théorie des classes de Chern. Bulletin de la Société Mathématique de France, Tome 86 (1958), pp. 137-154. doi : 10.24033/bsmf.1501. https://www.numdam.org/articles/10.24033/bsmf.1501/
[1] Complex analytic connections in fibre bundles (Trans. Amer. math. Soc., t. 85, 1957, p. 181-207). | MR | Zbl
. -[2] On the characteristic classes of complex sphere bundles and algebraic varieties (Amer. J. Math., t. 75, 1953, p. 565-597). | MR | Zbl
. -[3] Théorème de dualité pour les faisceaux algébriques cohérents (Séminaire Bourbaki, t. 9, n° 149, 1956-1957). | Numdam | Zbl
. -[4] Séminaire Classification des groupes de Lie, t. 1, 1956-1958. | Zbl
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- The Riemann–Roch theorem for the Adams operations, Expositiones Mathematicae, Volume 41 (2023) no. 4, p. 125513 | DOI:10.1016/j.exmath.2023.07.002
- Motivic Pontryagin classes and hyperbolic orientations, Journal of Topology, Volume 16 (2023) no. 4, p. 1423 | DOI:10.1112/topo.12317
- On the Beilinson fiber square, Duke Mathematical Journal, Volume 171 (2022) no. 18 | DOI:10.1215/00127094-2022-0037
- Characteristic Classes, Handbook of Geometry and Topology of Singularities III (2022), p. 303 | DOI:10.1007/978-3-030-95760-5_5
- Segre Classes and Invariants of Singular Varieties, Handbook of Geometry and Topology of Singularities III (2022), p. 419 | DOI:10.1007/978-3-030-95760-5_6
- Betti numbers of stable map spaces to Grassmannians, Mathematische Nachrichten, Volume 295 (2022) no. 10, p. 1869 | DOI:10.1002/mana.202000051
- From the 1970s Onward: The Rise of Braid Monodromy Factorization, Ramified Surfaces (2022), p. 159 | DOI:10.1007/978-3-031-05720-5_5
- Characteristic classes for families of bundles, Selecta Mathematica, Volume 28 (2022) no. 3 | DOI:10.1007/s00029-022-00764-4
- On the q-Dyson orthogonality problem, Advances in Applied Mathematics, Volume 130 (2021), p. 102224 | DOI:10.1016/j.aam.2021.102224
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- Murthy’s conjecture on 0-cycles, Inventiones mathematicae, Volume 217 (2019) no. 2, p. 549 | DOI:10.1007/s00222-019-00871-8
- 𝐾-theory and 0-cycles on schemes, Journal of Algebraic Geometry, Volume 29 (2019) no. 3, p. 547 | DOI:10.1090/jag/744
- G-marked moduli spaces, Communications in Contemporary Mathematics, Volume 20 (2018) no. 06, p. 1750061 | DOI:10.1142/s0219199717500614
- On Grothendieck’s Riemann–Roch theorem, Expositiones Mathematicae, Volume 35 (2017) no. 3, p. 326 | DOI:10.1016/j.exmath.2016.09.005
- Universal Gysin formulas for flag bundles, International Journal of Mathematics, Volume 28 (2017) no. 11, p. 1750077 | DOI:10.1142/s0129167x1750077x
- The Atyiah Singer Index Theorem, The Universal Coefficient Theorem and Quantum Field Theory (2017), p. 69 | DOI:10.1007/978-3-319-46143-4_6
- Parity and symmetry in intersection and ordinary cohomology, Algebra Number Theory, Volume 10 (2016) no. 2, p. 235 | DOI:10.2140/ant.2016.10.235
- Chern classes of tensor products, International Journal of Mathematics, Volume 27 (2016) no. 10, p. 1650079 | DOI:10.1142/s0129167x16500798
- On the algebraicK-theory of higher categories, Journal of Topology, Volume 9 (2016) no. 1, p. 245 | DOI:10.1112/jtopol/jtv042
- The big de Rham–Witt complex, Acta Mathematica, Volume 214 (2015) no. 1, p. 135 | DOI:10.1007/s11511-015-0124-y
- Zeta functions, Grothendieck groups, and the Witt ring, Bulletin des Sciences Mathématiques, Volume 139 (2015) no. 6, p. 599 | DOI:10.1016/j.bulsci.2014.11.004
- Basic Notions and Classical Results, L² Approaches in Several Complex Variables (2015), p. 1 | DOI:10.1007/978-4-431-55747-0_1
- Bergman Kernels, L² Approaches in Several Complex Variables (2015), p. 127 | DOI:10.1007/978-4-431-55747-0_4
- L 2 Approaches to Holomorphic Foliations, L² Approaches in Several Complex Variables (2015), p. 153 | DOI:10.1007/978-4-431-55747-0_5
- Analyzing the L 2
-Cohomology, L² Approaches in Several Complex Variables (2015), p. 41 | DOI:10.1007/978-4-431-55747-0_2 - L 2 Oka–Cartan Theory, L² Approaches in Several Complex Variables (2015), p. 93 | DOI:10.1007/978-4-431-55747-0_3
- The order of higher Brauer groups, Mathematische Annalen, Volume 362 (2015) no. 1-2, p. 43 | DOI:10.1007/s00208-014-1105-8
- Fano threefolds with canonical Gorenstein singularities and big degree, Mathematische Annalen, Volume 362 (2015) no. 3-4, p. 1107 | DOI:10.1007/s00208-014-1149-9
- Chow rings of fine quiver moduli are tautologically presented, Mathematische Zeitschrift, Volume 279 (2015) no. 3-4, p. 1197 | DOI:10.1007/s00209-015-1409-8
- K-theoretic Background, The Bloch–Kato Conjecture for the Riemann Zeta Function (2015), p. 22 | DOI:10.1017/cbo9781316163757.003
- The h -vectors of arithmetically Gorenstein sets of points on a general sextic surface inP3, Journal of Algebra, Volume 403 (2014), p. 345 | DOI:10.1016/j.jalgebra.2014.01.021
- Euler class groups and 2-torsion elements, Journal of Pure and Applied Algebra, Volume 218 (2014) no. 1, p. 112 | DOI:10.1016/j.jpaa.2013.04.016
- Decomposable and indecomposable algebras of degree
8 and exponent 2, Mathematische Zeitschrift, Volume 276 (2014) no. 3-4, p. 1113 | DOI:10.1007/s00209-013-1236-8 - Cycles de codimension 2 etH3non ramifié pour les variétés sur les corps finis, Journal of K-Theory, Volume 11 (2013) no. 1, p. 1 | DOI:10.1017/is012009001jkt194
- The Riemann-Roch Theorem, A Royal Road to Algebraic Geometry (2012), p. 329 | DOI:10.1007/978-3-642-19225-8_20
- Introduction, A1-Algebraic Topology over a Field, Volume 2052 (2012), p. 1 | DOI:10.1007/978-3-642-29514-0_1
- The Rost–Schmid Complex of a Strongly
-Invariant Sheaf, A1-Algebraic Topology over a Field, Volume 2052 (2012), p. 113 | DOI:10.1007/978-3-642-29514-0_5 -
-Homotopy Sheaves and -Homology Sheaves, A1-Algebraic Topology over a Field, Volume 2052 (2012), p. 149 | DOI:10.1007/978-3-642-29514-0_6 - Unramified Sheaves and Strongly
-Invariant Sheaves, A1-Algebraic Topology over a Field, Volume 2052 (2012), p. 15 | DOI:10.1007/978-3-642-29514-0_2 -
-Coverings, and , A1-Algebraic Topology over a Field, Volume 2052 (2012), p. 177 | DOI:10.1007/978-3-642-29514-0_7 -
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- Unramified Milnor–Witt K-Theories, A1-Algebraic Topology over a Field, Volume 2052 (2012), p. 49 | DOI:10.1007/978-3-642-29514-0_3
- Geometric Versus Canonical Transfers, A1-Algebraic Topology over a Field, Volume 2052 (2012), p. 81 | DOI:10.1007/978-3-642-29514-0_4
- Topologically invariant Chern numbers of projective varieties, Advances in Mathematics, Volume 229 (2012) no. 2, p. 1300 | DOI:10.1016/j.aim.2011.10.020
- Mixed Weil cohomologies, Advances in Mathematics, Volume 230 (2012) no. 1, p. 55 | DOI:10.1016/j.aim.2011.10.021
- The basic geometry of Witt vectors, I: The affine case, Algebra Number Theory, Volume 5 (2011) no. 2, p. 231 | DOI:10.2140/ant.2011.5.231
- Kähler–de Rham Cohomology and Chern Classes, Communications in Algebra, Volume 39 (2011) no. 4, p. 1153 | DOI:10.1080/00927871003610320
- A computational and combinatorial exposé of plethystic calculus, Journal of Algebraic Combinatorics, Volume 33 (2011) no. 2, p. 163 | DOI:10.1007/s10801-010-0238-4
- On uniqueness of characteristic classes, Journal of Pure and Applied Algebra, Volume 215 (2011) no. 6, p. 1223 | DOI:10.1016/j.jpaa.2010.08.006
- The basic geometry of Witt vectors. II: Spaces, Mathematische Annalen, Volume 351 (2011) no. 4, p. 877 | DOI:10.1007/s00208-010-0608-1
- Blow-ups and mixed motives, Tohoku Mathematical Journal, Volume 63 (2011) no. 4 | DOI:10.2748/tmj/1325886289
- L'Anneau de Chow d'une variete algebrique, Classi caratteristiche e questioni connesse (2010), p. 1 | DOI:10.1007/978-3-642-11048-1_1
- Chern Classes and Complex Manifolds, Classi caratteristiche e questioni connesse (2010), p. 189 | DOI:10.1007/978-3-642-11048-1_5
- A version of smooth K-theory adapted to the total Chern class, Journal of K-Theory, Volume 6 (2010) no. 2, p. 197 | DOI:10.1017/is010009026jkt104
- Intersection sheaves over normal schemes, Journal of the Mathematical Society of Japan, Volume 62 (2010) no. 2 | DOI:10.2969/jmsj/06220487
- Chern classes in Deligne cohomology for coherent analytic sheaves, Mathematische Annalen, Volume 347 (2010) no. 2, p. 249 | DOI:10.1007/s00208-009-0430-9
- Réalisation ℓ-adique des motifs triangulés géométriques II, Mathematische Zeitschrift, Volume 265 (2010) no. 1, p. 221 | DOI:10.1007/s00209-009-0511-1
- Algebraic Geometry versus Kähler geometry, Milan Journal of Mathematics, Volume 78 (2010) no. 1, p. 85 | DOI:10.1007/s00032-010-0113-8
- Non-self-dual Stably Free Modules, Quadratic Forms, Linear Algebraic Groups, and Cohomology, Volume 18 (2010), p. 315 | DOI:10.1007/978-1-4419-6211-9_20
- Arithmetic Laplacians, Advances in Mathematics, Volume 220 (2009) no. 1, p. 246 | DOI:10.1016/j.aim.2008.09.003
- A spectral sequence for theK-theory of tiling spaces, Ergodic Theory and Dynamical Systems, Volume 29 (2009) no. 3, p. 997 | DOI:10.1017/s0143385708000539
- Witt vectors. Part 1, Handbook of Algebra - Volume 6, Volume 6 (2009), p. 319 | DOI:10.1016/s1570-7954(08)00207-6
- Symplectic structures on moduli spaces of sheaves via the Atiyah class, Journal of Geometry and Physics, Volume 59 (2009) no. 7, p. 843 | DOI:10.1016/j.geomphys.2009.03.008
- Adams operations and λ-operations on classifying oriented cohomology theories, Journal of Pure and Applied Algebra, Volume 213 (2009) no. 4, p. 409 | DOI:10.1016/j.jpaa.2008.07.017
- Cyclotomy and endomotives, P-Adic Numbers, Ultrametric Analysis, and Applications, Volume 1 (2009) no. 3, p. 217 | DOI:10.1134/s2070046609030042
- Miscellany on the Zero Schemes of Sections of Vector Bundles, Algebraic Cycles, Sheaves, Shtukas, and Moduli (2008), p. 105 | DOI:10.1007/978-3-7643-8537-8_6
- The rank of a quiver representation, Journal of Algebra, Volume 320 (2008) no. 6, p. 2363 | DOI:10.1016/j.jalgebra.2008.06.011
- Stiefel—Whitney classes for coherent real analytic sheaves, advg, Volume 7 (2007) no. 1, p. 101 | DOI:10.1515/advgeom.2007.007
- Stable Vector Bundles as Generators of the Chow Ring, Geometriae Dedicata, Volume 117 (2006) no. 1, p. 203 | DOI:10.1007/s10711-005-9024-1
- K-Theory and Intersection Theory, Handbook of K-Theory (2005), p. 235 | DOI:10.1007/978-3-540-27855-9_7
- Multiplying Schubert Classes, Topics in Cohomological Studies of Algebraic Varieties (2005), p. 163 | DOI:10.1007/3-7643-7342-3_6
- Lambda-rings, Volume 3 (2003), p. 961 | DOI:10.1016/s1570-7954(03)80077-3
- Rigidity for orientable functors, Journal of Pure and Applied Algebra, Volume 172 (2002) no. 1, p. 49 | DOI:10.1016/s0022-4049(01)00134-7
- Cobordisme algébrique I, Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, Volume 332 (2001) no. 8, p. 723 | DOI:10.1016/s0764-4442(01)01832-8
- The Waring formula and fusion rings, Journal of Geometry and Physics, Volume 37 (2001) no. 3, p. 216 | DOI:10.1016/s0393-0440(00)00048-6
- Algebraic Cycles on Abelian Varieties, The Arithmetic and Geometry of Algebraic Cycles (2000), p. 307 | DOI:10.1007/978-94-011-4098-0_11
- Voevodsky’s proof of Milnor’s conjecture, Bulletin of the American Mathematical Society, Volume 35 (1998) no. 2, p. 123 | DOI:10.1090/s0273-0979-98-00745-9
- Homology of algebraic varieties: An introduction to the works of Suslin and Voevodsky, Bulletin of the American Mathematical Society, Volume 34 (1997) no. 3, p. 293 | DOI:10.1090/s0273-0979-97-00723-4
- ℋ︁ — Cohomologies Versus Algebraic Cycles, Mathematische Nachrichten, Volume 184 (1997) no. 1, p. 5 | DOI:10.1002/mana.19971840102
- The connection between a conjecture of Carlisle and Kropholler, now a theorem of Benson and Crawley-Boevey, and Grothendieck's Riemann-Roch and duality theorems, Commentarii Mathematici Helvetici, Volume 70 (1995) no. 1, p. 339 | DOI:10.1007/bf02566011
- L, Encyclopaedia of Mathematics (1995), p. 443 | DOI:10.1007/978-1-4899-3793-3_5
- Curvature measures and Chern classes of singular varieties, Journal of Differential Geometry, Volume 39 (1994) no. 2 | DOI:10.4310/jdg/1214454872
- Classes Caractéristiques de Fibrés Feuilletés, Holomorphes ou Algébriques, K-Theory, Volume 8 (1994) no. 2, p. 153 | DOI:10.1007/bf00961455
- Smooth affine varieties and complete intersections, Manuscripta Mathematica, Volume 83 (1994) no. 1, p. 265 | DOI:10.1007/bf02567613
- Stieffel whitney classes for quadratic modules, Communications in Algebra, Volume 21 (1993) no. 1, p. 163 | DOI:10.1080/00927879208824554
- Algebraic cycles and Hodge theoretic connectivity, Inventiones Mathematicae, Volume 111 (1993) no. 1, p. 349 | DOI:10.1007/bf01231292
- Algebraic cycles and infinite loop spaces, Inventiones mathematicae, Volume 113 (1993) no. 1, p. 373 | DOI:10.1007/bf01244311
- The total Chern class is not a map of multiplicative cohomology theories, Mathematische Zeitschrift, Volume 212 (1993) no. 1, p. 527 | DOI:10.1007/bf02571672
- Abundance theorem for minimal threefolds, Inventiones Mathematicae, Volume 108 (1992) no. 1, p. 229 | DOI:10.1007/bf02100604
- Adams operations on higherK-theory, K-Theory, Volume 6 (1992) no. 2, p. 97 | DOI:10.1007/bf01771009
- Characteristic classes of augmented bundles, Mathematische Annalen, Volume 292 (1992) no. 1, p. 729 | DOI:10.1007/bf01444645
- Le principe de scindage et l'inexistence d'une K-théorie de milnor globale, Topology, Volume 31 (1992) no. 3, p. 571 | DOI:10.1016/0040-9383(92)90052-j
- The horizontal base locus of multiples of tautological sheaves of projectivised cotangent bundles, Commentarii Mathematici Helvetici, Volume 66 (1991) no. 1, p. 580 | DOI:10.1007/bf02566666
- L, Encyclopaedia of Mathematics (1990), p. 321 | DOI:10.1007/978-94-009-5988-0_4
- Régulateurs syntomiques et valeurs de fonctionsL p-adiques I, Inventiones Mathematicae, Volume 99 (1990) no. 1, p. 293 | DOI:10.1007/bf01234421
- Théorie générale des classes caractéristiques secondaires, K-Theory, Volume 4 (1990) no. 1, p. 55 | DOI:10.1007/bf00534193
- Verschiebung and Frobenius operators, Proceedings of the Indian Academy of Sciences - Section A, Volume 100 (1990) no. 1 | DOI:10.1007/bf02881112
- The Burnside ring of the infinite cyclic group and its relations to the necklace algebra, λ-rings, and the universal ring of Witt vectors, Advances in Mathematics, Volume 78 (1989) no. 1, p. 1 | DOI:10.1016/0001-8708(89)90027-3
- Arithmetic Chow Groups and Differential Characters, Algebraic K-Theory: Connections with Geometry and Topology (1989), p. 29 | DOI:10.1007/978-94-009-2399-7_2
- Vector bundles over real algebraic varieties, K-Theory, Volume 3 (1989) no. 3, p. 271 | DOI:10.1007/bf00533373
- Homology of free loop spaces, cyclic homology and non-rational poincare-betti series in commutative algebra, Algebra Some Current Trends, Volume 1352 (1988), p. 173 | DOI:10.1007/bfb0082025
- WITHDRAWN: Introduction to the Beilinson conjectures, Beilinson's Conjectures on Special Values of L-Functions (1988), p. 1 | DOI:10.1016/b978-0-12-581120-0.50007-0
- WITHDRAWN: DELIGNE-BEILINSON COHOMOLOGY, Beilinson's Conjectures on Special Values of L-Functions (1988), p. 43 | DOI:10.1016/b978-0-12-581120-0.50009-4
- Continuous �tale cohomology, Mathematische Annalen, Volume 280 (1988) no. 2, p. 207 | DOI:10.1007/bf01456052
- Characteristic classes of flat bundles, Topology, Volume 27 (1988) no. 3, p. 323 | DOI:10.1016/0040-9383(88)90014-6
- Algebraic vector bundles over real algebraic varieties, Bulletin of the American Mathematical Society, Volume 17 (1987) no. 2, p. 279 | DOI:10.1090/s0273-0979-1987-15558-3
- Cycle classes and Riemann-Roch for crystalline cohomology, Duke Mathematical Journal, Volume 55 (1987) no. 3 | DOI:10.1215/s0012-7094-87-05527-x
- Bounds on the cohomological Hilbert functions of a projective variety, Journal of Algebra, Volume 109 (1987) no. 2, p. 352 | DOI:10.1016/0021-8693(87)90144-x
- Every curve on a nonsingular surface can be defined by two equations, Proceedings of the American Mathematical Society, Volume 96 (1986) no. 3, p. 391 | DOI:10.1090/s0002-9939-1986-0822425-5
- Algebraic K-theory and the norm-residue homomorphism, Journal of Soviet Mathematics, Volume 30 (1985) no. 6, p. 2556 | DOI:10.1007/bf02249123
- Poincaré forms, Gorenstein algebras and set theoretic complete intersections, Complete Intersections, Volume 1092 (1984), p. 270 | DOI:10.1007/bfb0099369
- The Hodge cohomology and cubic equivalences, Nagoya Mathematical Journal, Volume 94 (1984), p. 1 | DOI:10.1017/s002776300002081x
- A theorem on splitting of algebraic vector bundles and its applications, Hiroshima Mathematical Journal, Volume 12 (1982) no. 2 | DOI:10.32917/hmj/1206133760
- Erratum: Hodge Cycles on Abelian Varieties, Hodge Cycles, Motives, and Shimura Varieties, Volume 900 (1982), p. 418 | DOI:10.1007/978-3-540-38955-2_12
- Hodge Cycles on Abelian Varieties, Hodge Cycles, Motives, and Shimura Varieties, Volume 900 (1982), p. 9 | DOI:10.1007/978-3-540-38955-2_3
- Complex-analyticity of harmonic maps, vanishing and Lefschetz theorems, Journal of Differential Geometry, Volume 17 (1982) no. 1 | DOI:10.4310/jdg/1214436700
- References, Vector Bundles, Volume 101 (1982), p. 303 | DOI:10.1016/s0079-8169(08)61142-3
- Una formula di geometria numerativa, ANNALI DELL UNIVERSITA DI FERRARA, Volume 27 (1981) no. 1, p. 201 | DOI:10.1007/bf02825098
- Riemann-Roch theorems for higher algebraic K-theory, Advances in Mathematics, Volume 40 (1981) no. 3, p. 203 | DOI:10.1016/s0001-8708(81)80006-0
- Grassmann bundles, Annali di Matematica Pura ed Applicata, Volume 127 (1981) no. 1, p. 101 | DOI:10.1007/bf01811721
- Intersection formulae in flag manifolds, Annali di Matematica Pura ed Applicata, Volume 127 (1981) no. 1, p. 307 | DOI:10.1007/bf01811728
- Non-free projective modules over ?[X, Y] and stable bundles over ?2(?), Inventiones Mathematicae, Volume 65 (1981) no. 1, p. 13 | DOI:10.1007/bf01389292
- Counting divisors with prescribed singularities, Transactions of the American Mathematical Society, Volume 267 (1981) no. 2, p. 399 | DOI:10.1090/s0002-9947-1981-0626480-7
- EtaleK-theory I: Connections with etale cohomology and algebraic vector bundles, Inventiones Mathematicae, Volume 60 (1980) no. 2, p. 105 | DOI:10.1007/bf01405150
- Realization of Chern classes by subvarieties with certain singularities, Nagoya Mathematical Journal, Volume 80 (1980), p. 49 | DOI:10.1017/s002776300001905x
- Characteristic number obstructions to fibering oriented and complex manifolds over surfaces, Topology, Volume 19 (1980) no. 3, p. 265 | DOI:10.1016/0040-9383(80)90012-9
- K-cohomology of regular schemes, Communications in Algebra, Volume 7 (1979) no. 10, p. 999 | DOI:10.1080/00927877908822388
- Topics in integral representation theory, Integral Representations, Volume 744 (1979), p. 1 | DOI:10.1007/bfb0063059
- The Möbius algebra as a Grothendieck ring, Journal of Algebra, Volume 57 (1979) no. 1, p. 167 | DOI:10.1016/0021-8693(79)90215-1
- Bibliography, Volume 78 (1978), p. 531 | DOI:10.1016/s0079-8169(08)60651-0
- Immersion and embedding of projective varieties, Acta Mathematica, Volume 140 (1978) no. 0, p. 49 | DOI:10.1007/bf02392303
- A note on set-theoretic complete intersection ideals, Journal of Algebra, Volume 54 (1978) no. 1, p. 1 | DOI:10.1016/0021-8693(78)90017-0
- Duality and intersection theory in complex manifolds. I, Mathematische Annalen, Volume 237 (1978) no. 1, p. 41 | DOI:10.1007/bf01351557
- Flag bundles, Chern classes and natural lifts, Annali di Matematica Pura ed Applicata, Volume 115 (1977) no. 1, p. 155 | DOI:10.1007/bf02414714
- On the Chern numbers of surfaces of general type, Inventiones Mathematicae, Volume 42 (1977) no. 1, p. 225 | DOI:10.1007/bf01389789
- The Enumerative Theory of Singularities, Real and complex singularities, Oslo 1976 (1977), p. 297 | DOI:10.1007/978-94-010-1289-8_10
- Cohomologie de quelques schemas classiques et theorie cohomologique des classes de Chern, Séminaire de Géométrie Algébrique du Bois-Marie 1965–66 SGA 5, Volume 589 (1977), p. 282 | DOI:10.1007/bfb0096808
- Ample vector bundles, Chern classes, and numerical criteria, Inventiones Mathematicae, Volume 32 (1976) no. 2, p. 171 | DOI:10.1007/bf01389960
- Vector bundles over affine surfaces, Inventiones Mathematicae, Volume 36 (1976) no. 1, p. 125 | DOI:10.1007/bf01390007
- Geometry of algebraic varieties, Journal of Soviet Mathematics, Volume 5 (1976) no. 6, p. 803 | DOI:10.1007/bf01085150
- Le théorème de riemann-roch pour les variétés algébriques éventuellement singulières, Séminaire Bourbaki vol. 1974/75 Exposés 453–470, Volume 514 (1976), p. 159 | DOI:10.1007/bfb0080065
- An algebraic correspondence with applications to projective bundles and blowing up Chern classes, Annali di Matematica Pura ed Applicata, Volume 102 (1975) no. 1, p. 1 | DOI:10.1007/bf02410592
- On the embedding of abelian varieties in projective spaces, Annali di Matematica Pura ed Applicata, Volume 103 (1975) no. 1, p. 127 | DOI:10.1007/bf02414149
- Analytic cycles and vector bundles on non-compact algebraic varieties, Inventiones Mathematicae, Volume 28 (1975) no. 1, p. 1 | DOI:10.1007/bf01389905
- Riemann-roch for singular varieties, Publications mathématiques de l'IHÉS, Volume 45 (1975) no. 1, p. 101 | DOI:10.1007/bf02684299
- Rational equivalence on singular varieties, Publications mathématiques de l'IHÉS, Volume 45 (1975) no. 1, p. 147 | DOI:10.1007/bf02684300
- On the de rham cohomology of algebraic varieties, Publications mathématiques de l'IHÉS, Volume 45 (1975) no. 1, p. 6 | DOI:10.1007/bf02684298
- The determinantal formula of Schubert calculus, Acta Mathematica, Volume 132 (1974) no. 0, p. 153 | DOI:10.1007/bf02392111
- A decomposability criterion for algebraic 2-bundles on projective spaces, Inventiones mathematicae, Volume 25 (1974) no. 1, p. 91 | DOI:10.1007/bf01389999
- Pinceaux de Lefschetz: Theoreme d'existence, Groupes de Monodromie en Géométrie Algébrique, Volume 340 (1973), p. 212 | DOI:10.1007/bfb0060513
- Algebraic cycles on Grassmann varieties, Advances in Mathematics, Volume 9 (1972) no. 3, p. 267 | DOI:10.1016/0001-8708(72)90019-9
- Bibliography, Cohomology of Principal Bundles amd Homogeneous Spaces, Volume 47 (1972), p. 575 | DOI:10.1016/s0079-8169(08)60521-8
- Bibliography, Lie Gronps, Principal Bundles, and Characteristic Classes, Volume 47 (1972), p. 511 | DOI:10.1016/s0079-8169(08)62883-4
- The group F2K(X) as a birational invariant of a surface, Mathematical Notes of the Academy of Sciences of the USSR, Volume 11 (1972) no. 1, p. 12 | DOI:10.1007/bf01366909
- The variation of singular cycles in an algebraic family of morphisms, Transactions of the American Mathematical Society, Volume 168 (1972) no. 0, p. 153 | DOI:10.1090/s0002-9947-1972-0306199-7
- The positivity of the Chern classes of an ample vector bundle, Inventiones Mathematicae, Volume 12 (1971) no. 2, p. 112 | DOI:10.1007/bf01404655
- Critical points of an algebraic function, Inventiones Mathematicae, Volume 12 (1971) no. 3, p. 210 | DOI:10.1007/bf01418781
- P-Ample Bundles and Their Chern Classes, Nagoya Mathematical Journal, Volume 43 (1971), p. 91 | DOI:10.1017/s0027763000014380
- Simple singularities of maps, Proceedings of Liverpool Singularities — Symposium I, Volume 192 (1971), p. 286 | DOI:10.1007/bfb0066829
- Some transcendental methods in the study of algebraic cycles, Several Complex Variables II Maryland 1970, Volume 185 (1971), p. 1 | DOI:10.1007/bfb0058762
- Generalites sur les λ-Anneaux, Théorie des Intersections et Théorème de Riemann-Roch, Volume 225 (1971), p. 297 | DOI:10.1007/bfb0066289
- Problemes Ouverts en Theorie des Intersections, Théorie des Intersections et Théorème de Riemann-Roch, Volume 225 (1971), p. 667 | DOI:10.1007/bfb0066297
- Grothendieck- und Wittringe von nichtausgearteten symmetrischen Bilinearformen, Grothendieck- und Wittringe von nichtausgearteten symmetrischen Bilinearformen (1970), p. 5 | DOI:10.1007/978-3-642-99987-1_1
- Riemann-Roch sans d�nominateurs, Inventiones Mathematicae, Volume 11 (1970) no. 1, p. 15 | DOI:10.1007/bf01389802
- Geometry on grassmannians and applications to splitting bundles and smoothing cycles, Publications mathématiques de l'IHÉS, Volume 36 (1969) no. 1, p. 281 | DOI:10.1007/bf02684605
- Nombres de Chern et groupes finis, Topology, Volume 7 (1968) no. 3, p. 255 | DOI:10.1016/0040-9383(68)90005-0
- The intersection multiplicity of a connected component, Mathematische Annalen, Volume 172 (1967) no. 3, p. 238 | DOI:10.1007/bf01351191
- An algebraic study of group and nongroup error-correcting codes, Information and Control, Volume 8 (1965) no. 2, p. 195 | DOI:10.1016/s0019-9958(65)90122-1
- OPERATIONS IN KO-THEORY AND PRODUCTS OF REAL PROJECTIVE SPACES, Memoirs of the Faculty of Science, Kyushu University. Series A, Mathematics, Volume 18 (1964) no. 2, p. 140 | DOI:10.2206/kyushumfs.18.140
- Immersions and embeddings of manifolds, Topology, Volume 1 (1962) no. 2, p. 125 | DOI:10.1016/0040-9383(65)90020-0
- Differential geometry of higher order, Topology, Volume 1 (1962) no. 3, p. 169 | DOI:10.1016/0040-9383(62)90103-9
- Blowing up Chern Classes, Mathematical Proceedings of the Cambridge Philosophical Society, Volume 56 (1960) no. 2, p. 118 | DOI:10.1017/s0305004100034368
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