Generic vanishing theorems for semi-negative vector bundles;Théorèmes d'annulation générique pour les fibrés vectoriels semi-négatifs

Bulletin de la Societe Mathematique de France

Volumn 127, Issue 1, 1999, Pages 115-133

  Mourougane, Christophe ^a  

^a INSTITUT DE MATHÉMATIQUES DE JUSSIEU   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000700944     PISSN: 00379484     EISSN: None     Source Type: Journal    
DOI: 10.24033/bsmf.2344     Document Type: Article

References (14)

1. CUTKOSKY (S.D.), SRINIVAS (V.). - On a problem of Zariski on dimensions of linear systems, Annals of Math., t. 137, 1993, p. 531-559.
2. DELIGNE (P.), GRIFFITHS (P.A.), MORGAN (J.), SULLIVAN (D.). - Real Homotopy Theory of Kähler Manifolds, Invent. Math., t. 29, 1975, p. 245-274.
3. 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, 1978-79, Lecture Notes in Math., t. 822, 1980, p. 304-309.
4. 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.
5. ESNAULT (H.), VIEHWEG (E.). - Lectures on vanishing theorems. DMV Seminar, 1992, Band 20, Amer. Math. Soc., t. 4, 1991, p. 87-103.
6. 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.
7. 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.
8. GREEN (M.), LAZARSFELD (R.). - Higher obstructions to deforming cohomology groups of line bundles, J. Amer. Math. Soc., t. 4, 1991, p. 87-103.
9. KAWAMATA (Y.). - A generalization of Kodaira-Ramanujam's vanishing theorem, Math. Ann., t. 261, 1982, p. 43-46.
10. KAWAMATA (Y.). - Pluricanonical systems on minimal algebraic varieties, Invent. Math., t. 79, 1985, p. 567-588.
11. KOLLÁR (J.). - Higher direct images of dualizing sheaves, I, Annals of Math., t. 123, 1986, p. 11-42.
12. LE POTIER (J.). - Théorème d'annulation en cohomologie, C. R. Acad. Sc. Paris, t. 276, 1973, p. 535-537.
13. MOUROUGANE (Ch.). - Thèse de doctorat. - Université Grenoble I, janvier 1997.
14. VIEHWEG (E.). - Vanishing theorems, J. reine angew. Math., t. 335, 1982, p. 1-8.