@article{ASNSP_1992_4_19_4_515_0, author = {Manivel, Laurent}, title = {Th\'eor\`emes d'annulation pour les fibr\'es associ\'es \`a un fibr\'e ample}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {515--565}, publisher = {Scuola normale superiore}, volume = {4e s{\'e}rie, 19}, number = {4}, year = {1992}, mrnumber = {1205883}, zbl = {0776.32028}, language = {fr}, url = {http://www.numdam.org/item/ASNSP_1992_4_19_4_515_0/} }
TY - JOUR AU - Manivel, Laurent TI - Théorèmes d'annulation pour les fibrés associés à un fibré ample JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1992 SP - 515 EP - 565 VL - 19 IS - 4 PB - Scuola normale superiore UR - http://www.numdam.org/item/ASNSP_1992_4_19_4_515_0/ LA - fr ID - ASNSP_1992_4_19_4_515_0 ER -
%0 Journal Article %A Manivel, Laurent %T Théorèmes d'annulation pour les fibrés associés à un fibré ample %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 1992 %P 515-565 %V 19 %N 4 %I Scuola normale superiore %U http://www.numdam.org/item/ASNSP_1992_4_19_4_515_0/ %G fr %F ASNSP_1992_4_19_4_515_0
Manivel, Laurent. Théorèmes d'annulation pour les fibrés associés à un fibré ample. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 19 (1992) no. 4, pp. 515-565. http://www.numdam.org/item/ASNSP_1992_4_19_4_515_0/
[1] Homogeneous vector bundles, Ann. of Math. 66, 203-248 (1957). | MR | Zbl
,[2] Eléments de mathématiques, Livre 2, Chapitre 3, Algèbre multilinéaire, Hermann, Paris, 1958.
,[3] A spectral sequence for complex analytic bundles, in Hirzebruch, F.: Topological methods in algebraic geometry, Berlin-Heidelberg- New York, Springer Verlag, 1966.
,[4] Vanishing theorems for tensor powers of an ample vector bundle, Invent. Math. 91, 203-220 (1988). | MR | Zbl
,[5] Théorèmes d'annulation pour la cohomologie des puissances tensorielles d'un fibré positif, C. R. Acad. Sci. Paris, Sér. I Math., 305, 419-422 (1987). | MR | Zbl
,[6] Vanishing theorems for tensor powers of a positive vector bundle, Lecture Notes in Math. 1339, Springer Verlag, 1988. | MR | Zbl
,[7] A very simple proof of Bott's theorem, Invent. Math. 33, 271-272 (1976). | MR | Zbl
,[8] A theorem on the syzygies of smooth projective varieties of arbitrary dimension, preprint.
- ,[9] Principles of algebraic geometry, Wiley Interscience, New York, 1978. | MR | Zbl
- ,[10] Théorie des faisceaux, Hermann, 1958. | MR | Zbl
,[11] Hermitian differential geometry, Chern classes and positive vector bundles, in Global analysis, papers in honor of K. Kodaira, Princeton Univ. Press, Princeton, 1969, 185-251. | MR | Zbl
,[12] On the derived category of coherent sheaves on Grassmann manifolds, Math. USSR Izv. 24, 183-192 (1985). | MR | Zbl
,[13] -rings and the representation theory of the symmetric group, Lecture Notes 308, Springer, 1973. | MR | Zbl
, λ[14] Lie algebra cohomology and the generalized Borel-Weil theorem, Ann. of Math. 74, 329-387 (1961). | MR | Zbl
,[15] Lie algebra cohomology and generalized Schubert cells, Ann. of Math. 77, 72-144 (1962). | MR | Zbl
,[16] Geometrische Methoden in der Invariantentheorie, Aspekter der Mathematik, Band D1, Braunschweig, Vieweg Sohn, 1985. | MR | Zbl
,[17] Fonctions de Schur et grassmanniennes, C. R. Acad. Sci. Paris, Sér. A, 281, 851-854 (1975). | MR | Zbl
,[18] Symmetric functions and Hall polynomials, Oxford, Clarendon Press, 1979. | MR | Zbl
,[19] Annulation de la cohomologie à valeurs dans un fibré vectoriel holomorphe positif de rang quelconque, Math. Ann. 218, 35-53 (1975). | EuDML | MR | Zbl
,[20] Cohomologie de la Grassmannienne à valeurs dans les puissances extérieures et symétriques du fibré universel, Math. Ann. 266, 257-270 (1977). | EuDML | MR | Zbl
,[21] Un exemple de non dégénérescence en E2 de la suite spectrale de Borel-Le Potier, C.R. Acad. Sci. Paris Sér. I Math., 311, 31-36 (1990). | MR | Zbl
,[22] Un théorème d'annulation pour les puissances extérieures d'un fibré ample, J. reine angew. Math. 422, 91-116 (1991). | EuDML | MR | Zbl
,[23] Direct images of sheaves of differentials and the Atiyah class, Math. Z. 196, 75-85 (1987). | EuDML | MR | Zbl
- - ,[24] Vanishing theorems, linear and quadratic normality, Invent. Math. 87, 573-586 (1987). | EuDML | MR | Zbl
- - ,[25] Ein einfacher Beweis des Verschwindungssatzes für positive holomorphe Vektorraumbündel, Manuscripta Math. 11, 95-101 (1974). | EuDML | MR | Zbl
,[26] Some remarks on vanishing theorems for holomorphic vector bundles, Math. Z. 186, 135-142 (1984). | EuDML | MR | Zbl
,[27] Vanishing theorems on complex manifolds, Progr. Math. 56, Birkhäuser, 1985. | MR | Zbl
- ,[28] Cohomology of twisted holomorphic forms on Grassmann manifolds and quadric hypersurfaces, Math. Ann. 276, 159-176 (1986). | EuDML | MR | Zbl
,[29] On the ampleness of homogeneous vector bundles, Trans. Amer. Math. Soc. 294, 585-594 (1986). | MR | Zbl
,[30] Submanifolds of abelian varieties, Math. Ann. 233, 229-256 (1978). | EuDML | MR | Zbl
,