Théorèmes d'annulation générique pour les fibrés vectoriels semi-négatifs

DOI10.24033/bsmf.2344zbMath0939.32020OpenAlexW2486250214MaRDI QIDQ4700597

Christophe Mourougane

Publication date: 4 November 1999

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1999__127_1_115_0

zbMATH Keywords

Kähler manifoldsvanishing theoremstranscendental methodspositivity notions

Mathematics Subject Classification ID

Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Vanishing theorems (32L20)

Related Items

Geometric stability of the cotangent bundle and the universal cover of a projective manifold, PSEUDO-EFFECTIVE LINE BUNDLES ON COMPACT KÄHLER MANIFOLDS, Pseudo-effective line bundles over holomorphically convex manifolds, Injectivity theorem for pseudo-effective line bundles and its applications, Hyperkähler SYZ conjecture and semipositive line bundles, Pullbacks of hyperplane sections for Lagrangian fibrations are primitive, Effectivity of semi-positive line bundles

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Pluricanonical systems on minimal algebraic varieties
• Higher direct images of dualizing sheaves. I
• Deformation theory, generic vanishing theorems, and some conjectures of Enriques, Catanese and Beauville
• A generalization of Kodaira-Ramanujam's vanishing theorem
• Real homotopy theory of Kähler manifolds
• On a problem of Zariski on dimensions of linear systems
• Vanishing theorems.
• Higher Obstructions to Deforming Cohomology Groups of Line Bundles