Sur la cohomologie des fibrés associés au fibré quotient universel sur la grassmannienne
Bulletin de la Société Mathématique de France (1990)
- Volume: 118, Issue: 1, page 67-84
- ISSN: 0037-9484
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topManivel, Laurent. "Sur la cohomologie des fibrés associés au fibré quotient universel sur la grassmannienne." Bulletin de la Société Mathématique de France 118.1 (1990): 67-84. <http://eudml.org/doc/87596>.
@article{Manivel1990,
author = {Manivel, Laurent},
journal = {Bulletin de la Société Mathématique de France},
keywords = {cohomology groups on Grassmannians; vanishing theorems; flag variety},
language = {fre},
number = {1},
pages = {67-84},
publisher = {Société mathématique de France},
title = {Sur la cohomologie des fibrés associés au fibré quotient universel sur la grassmannienne},
url = {http://eudml.org/doc/87596},
volume = {118},
year = {1990},
}
TY - JOUR
AU - Manivel, Laurent
TI - Sur la cohomologie des fibrés associés au fibré quotient universel sur la grassmannienne
JO - Bulletin de la Société Mathématique de France
PY - 1990
PB - Société mathématique de France
VL - 118
IS - 1
SP - 67
EP - 84
LA - fre
KW - cohomology groups on Grassmannians; vanishing theorems; flag variety
UR - http://eudml.org/doc/87596
ER -
References
top- [1] BOTT (R.). — Homogeneous vector bundles, Ann. of Math., t. 66, 1957, p 203-248. Zbl0094.35701MR19,681d
- [2] DEMAILLY (J.P.). — Théorèmes d'annulation pour la cohomologie des puissances tensorielles d'un fibré positif, C.R. Acad. Sci. Paris, Série 1 Math., t. 305, 1987, p 419-422. Zbl0627.32022MR89c:32076
- [3] DEMAILLY (J.P.). — Vanishing theorems for tensor powers of an ample vector bundle, Invent. Math., t. 91, 1988, p. 203-220. Zbl0647.14005MR89d:32066
- [4] DEMAZURE (B.). — A very simple proof of Bott's theorem, Invent. Math., t. 33, 1976, p 271-272. Zbl0383.14017MR54 #2670
- [5] GODEMENT (R.). — Théorie des faisceaux. — Hermann, 1958.
- [6] GRIFFITHS (P.A.). — Hermitian differential geometry, Chern classes and positive vector bundles, in Global analysis, papers in honour of K. Kodaira. — Princeton Univ. Press, Princeton, 1969, p. 185-251. Zbl0201.24001MR41 #2717
- [7] LE POTIER (J.). — Cohomologie de la Grassmanienne à valeurs dans les puissances extérieures et symétriques du fibré universel, Math. Ann., t. 266, 1977, p 257-270. Zbl0356.32018MR57 #341
- [8] PETERNELL (Th.), LE POTIER (J.) et SCHNEIDER (M.). — Vanishing theorems, linear and quadratic normality, Inv. Math., t. 87, 1987, p 573-586. Zbl0618.14023MR88d:14031
- [9] SNOW (D.). — Cohomology of twisted holomorphic forms on Grassmann manifolds and quadric hypersurfaces, Math. Ann., t. 276, 1986, p 159-176. Zbl0596.32016MR87m:32066
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