@article{CM_1996__103_3_351_0, author = {Manivel, Laurent and Snow, Dennis M.}, title = {A {Borel-Weil} theorem for holomorphic forms}, journal = {Compositio Mathematica}, pages = {351--365}, publisher = {Kluwer Academic Publishers}, volume = {103}, number = {3}, year = {1996}, mrnumber = {1414594}, zbl = {0859.22004}, language = {en}, url = {http://archive.numdam.org/item/CM_1996__103_3_351_0/} }
TY - JOUR AU - Manivel, Laurent AU - Snow, Dennis M. TI - A Borel-Weil theorem for holomorphic forms JO - Compositio Mathematica PY - 1996 SP - 351 EP - 365 VL - 103 IS - 3 PB - Kluwer Academic Publishers UR - http://archive.numdam.org/item/CM_1996__103_3_351_0/ LA - en ID - CM_1996__103_3_351_0 ER -
Manivel, Laurent; Snow, Dennis M. A Borel-Weil theorem for holomorphic forms. Compositio Mathematica, Tome 103 (1996) no. 3, pp. 351-365. http://archive.numdam.org/item/CM_1996__103_3_351_0/
1 Linear Algebraic Groups, 2nd ed., Benjamin, New York, 1991. | MR | Zbl
:2 A spectral sequence for complex analytic bundles, in Hirzebruch, F., Topological Methods in Algebraic Geometry, 3rd ed., Springer, Berlin, Heidelberg, New York, 1978.
:3 Homogeneous vector bundles, Ann. Math. 66 (1957), 203-248. | MR | Zbl
:4 Vanishing theorems for tensor powers of an ample vector bundle, Invent. Math. 91 (1988), 203-220. | MR | Zbl
:5 Some geometric and analytic properties of homogeneous complex manifolds, I, Acta Math. 110 (1963), 115-155. | MR | Zbl
:6 Differential geometry of homogeneous vector bundles, Trans. Amer. Math. Soc. 109 (1963), 1-34. | MR | Zbl
:7 Introduction to Lie Algebras and Representation Theory, Springer, Berlin, Heidelberg, New York, 1972. | MR | Zbl
:8 Higher direct images of dualizing sheaves I, Ann. Math. 123 (1986), 11-42. | MR | Zbl
:9 Lie algebra cohomology and the generalized Borel-Weil Theorem, Ann. Math. 74 (1961), 329-387. | MR | Zbl
:10 Annulation de la cohomologie à valeurs dans un fibré vectoriel holomorphe positif de rang quelconque, Math. Ann. 218 (1975), 35-53. | MR | Zbl
:11 Cohomologie de la Grassmannienne à valeurs dans les puissances extérieures et symétriques du fibré universel, Math. Ann. 226 (1977), 257-270. | MR | Zbl
:12 The theory of group characters and matrix representations of groups, Oxford Univ. Press, Oxford, 1950. | JFM | MR
:13 Symmetric functions and Hall polynomials, Clarendon Press, Oxford, 1979. | MR | Zbl
:14 Un théorème d'annulation pour les puissances extérieures d' un fibré ample, J. reine angew. Math. 422 (1991), 91-116. | MR | Zbl
:15 Théorèmes d'annulation pour les fibrés associés à un fibré ample, Scuola Norm. Sup. Pisa 19 (1992), 515-565. | Numdam | MR | Zbl
:16 On the ampleness of homogeneous vector bundles, Trans. Amer. Math. Soc. 294 (1986), 585-594. | MR | Zbl
:17 Cohomology of twisted holomorphic forms on Grassmann manifolds and quadric hypersurfaces, Math. Ann. 276 (1986), 159-176. | MR | Zbl
:18 Vanishing theorems on compact hermitian symmetric spaces, Math. Z. 198 (1988), 1-20. | MR | Zbl
:19 Dolbeault cohomology of homogeneous line bundles, preprint.
:20 The nef value of homogeneous line bundles and related vanishing theorems, Forum Math. 7 (1995), 385-392. | MR | Zbl
:21 A vanishing theorem for generalized flag manifolds, Arch. Math. 64 (1995), 444-451. | MR | Zbl
and :22 Tabellen zu den einfachen Lie Gruppen und ihren Darstellungen, Lecture Notes in Math. 40, Springer, Berlin, Heidelberg, New York, 1967. | MR | Zbl
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