Théorèmes d'annulation générique pour les fibrés vectoriels semi-négatifs
Bulletin de la Société Mathématique de France, Tome 127 (1999) no. 1, pp. 115-133. 
@article{BSMF_1999__127_1_115_0,
     author = {Mourougane, Christophe},
     title = {Th\'eor\`emes d'annulation g\'en\'erique pour les fibr\'es vectoriels semi-n\'egatifs},
     journal = {Bulletin de la Soci\'et\'e Math\'ematique de France},
     pages = {115--133},
     publisher = {Soci\'et\'e math\'ematique de France},
     volume = {127},
     number = {1},
     year = {1999},
     doi = {10.24033/bsmf.2344},
     zbl = {0939.32020},
     mrnumber = {1700471},
     language = {fr},
     url = {http://www.numdam.org/articles/10.24033/bsmf.2344/}
}
TY  - JOUR
AU  - Mourougane, Christophe
TI  - Théorèmes d'annulation générique pour les fibrés vectoriels semi-négatifs
JO  - Bulletin de la Société Mathématique de France
PY  - 1999
SP  - 115
EP  - 133
VL  - 127
IS  - 1
PB  - Société mathématique de France
UR  - http://www.numdam.org/articles/10.24033/bsmf.2344/
DO  - 10.24033/bsmf.2344
LA  - fr
ID  - BSMF_1999__127_1_115_0
ER  - 
%0 Journal Article
%A Mourougane, Christophe
%T Théorèmes d'annulation générique pour les fibrés vectoriels semi-négatifs
%J Bulletin de la Société Mathématique de France
%D 1999
%P 115-133
%V 127
%N 1
%I Société mathématique de France
%U http://www.numdam.org/articles/10.24033/bsmf.2344/
%R 10.24033/bsmf.2344
%G fr
%F BSMF_1999__127_1_115_0
Mourougane, Christophe. Théorèmes d'annulation générique pour les fibrés vectoriels semi-négatifs. Bulletin de la Société Mathématique de France, Tome 127 (1999) no. 1, pp. 115-133. doi : 10.24033/bsmf.2344. http://www.numdam.org/articles/10.24033/bsmf.2344/

[CS93]Cutkosky (S.D.), Srinivas (V.). - On a problem of Zariski on dimensions of linear systems, Annals of Math., t. 137, 1993, p. 531-559. | MR | Zbl

[DGMS75]Deligne (P.), Griffiths (P.A.), Morgan (J.), Sullivan (D.). - Real Homotopy Theory of Kähler Manifolds, Invent. Math., t. 29, 1975, p. 245-274. | EuDML | MR | Zbl

[DS80]Demailly (J.P.), Skoda (H.). - Relations entre les notions de positivité de P.A. Griffiths et de S. Nakano, Séminaire P. Lelong et H. Skoda, 1978-1979, Lecture Notes in Math., t. 822, 1980, p. 304-309. | MR | Zbl

[En93]Enoki (I.). - Kawamata-Viehweg vanishing for compact Kähler manifolds, Einstein metric and Yang-mills connections, T. Mabuchi, S. Mukai ed., Marcel Dekker, 1993, p. 59-68. | MR | Zbl

[EV92]Esnault (H.), Viehweg (E.). - Lectures on vanishing theorems, DMV Seminar, 1992, Band 20, Amer. Math. Soc., t. 4, 1991, p. 87-103. | MR | Zbl

[GL87]Green (M.), Lazarsfeld (R.). - Deformation theory, generic vanishing theorems, and some conjectures of Enriques, Catanese, and Beauville, Invent. Math., t. 90, 1987, p. 389-407. | EuDML | MR | Zbl

[GL87']Green (M.), Lazarsfeld (R.). - Deformation theory for cohomology of analytic vector bundles on Kähler manifolds, with applications, Mathematical Aspects of String Theory. - World Scientific, 1987, p. 416-440. | MR | Zbl

[GL91]Green (M.), Lazarsfeld (R.). - Higher obstructions to deforming cohomology groups of line bundles, J. Amer. Math. Soc., t. 4, 1991, p. 87-103. | MR | Zbl

[Ka82]Kawamata (Y.). - A generalization of Kodaira-Ramanujam's vanishing theorem, Math. Ann., t. 261, 1982, p. 43-46. | EuDML | MR | Zbl

[Ka85]Kawamata (Y.). - Pluricanonical systems on minimal algebraic varieties, Invent. Math., t. 79, 1985, p. 567-588. | MR | Zbl

[Ko86]Kollár (J.). - Higher direct images of dualizing sheaves, I, Annals of Math., t. 123, 1986, p. 11-42. | MR | Zbl

[LP73]Le Potier (J.). - Théorème d'annulation en cohomologie, C.R. Acad. Sc. Paris, t. 276, 1973, p. 535-537. | MR | Zbl

[Mo97]Mourougane (Ch.). - Thèse de doctorat. - Université Grenoble I, janvier 1997.

[Vi82]Viehweg (E.). - Vanishing theorems, J. reine angew. Math., t. 335, 1982, p. 1-8. | MR | Zbl

  • Chen, Zeng; Wang, Guanxiang A vector bundle valued mixed hard Lefschetz theorem, Acta Mathematica Scientia, Volume 45 (2025) no. 2, p. 514 | DOI:10.1007/s10473-025-0213-8
  • Anella, F.; Huybrechts, D. Effectivity of semi-positive line bundles, Milan Journal of Mathematics, Volume 90 (2022) no. 2, pp. 389-401 | DOI:10.1007/s00032-022-00356-z | Zbl:1510.32054
  • Fujino, Osamu; Matsumura, Shin-Ichi Injectivity theorem for pseudo-effective line bundles and its applications, Transactions of the American Mathematical Society. Series B, Volume 8 (2021), pp. 849-884 | DOI:10.1090/btran/86 | Zbl:1478.32062
  • Kamenova, Ljudmila; Verbitsky, Misha Pullbacks of hyperplane sections for Lagrangian fibrations are primitive, Communications in Contemporary Mathematics, Volume 21 (2019) no. 8, p. 7 (Id/No 1850065) | DOI:10.1142/s0219199718500657 | Zbl:1429.32029
  • Meng, Xiankui; Zhou, Xiangyu Pseudo-effective line bundles over holomorphically convex manifolds, Journal of Algebraic Geometry, Volume 28 (2019) no. 1, pp. 169-200 | DOI:10.1090/jag/714 | Zbl:1402.32020
  • Campana, Frédéric; Peternell, Thomas Geometric stability of the cotangent bundle and the universal cover of a projective manifold, Bulletin de la Société Mathématique de France, Volume 139 (2011) no. 1, pp. 41-74 | DOI:10.24033/bsmf.2599 | Zbl:1218.14030
  • Verbitsky, Misha Hyperkähler SYZ conjecture and semipositive line bundles, Geometric and Functional Analysis. GAFA, Volume 19 (2010) no. 5, pp. 1481-1493 | DOI:10.1007/s00039-009-0037-z | Zbl:1188.53046
  • Demailly, Jean-Pierre; Peternell, Thomas; Schneider, Michael Pseudo-effective line bundles on compact Kähler manifolds., International Journal of Mathematics, Volume 12 (2001) no. 6, pp. 689-741 | DOI:10.1142/s0129167x01000861 | Zbl:1111.32302

Cité par 8 documents. Sources : Crossref, zbMATH