Vanishing theorems of negative vector bundles on projective varieties and the convexity of coverings

DOI10.1090/S1056-3911-06-00428-0zbMath1107.14030MaRDI QIDQ5487959

Bruno De Oliveira, Fedor A. Bogomolov

Publication date: 13 September 2006

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

zbMATH Keywords

vanishing theoremsShafarevich conjectureaffine bundlenegative vector bundle

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Vanishing theorems in algebraic geometry (14F17)

Related Items (1)

Linear Shafarevich conjecture

Cites Work

• Deformations of large fundamental groups
• Convexity properties of coverings of smooth projective varieties
• Vanishing theorems on complex manifolds
• Pseudoconvexity properties of complements of analytic subvarieties
• Complete Kähler manifolds with nonpositive curvature of faster than quadratic decay
• Symplectic four-manifolds and projective surfaces
• Shafarevich maps and plurigenera of algebraic varieties
• Nilpotent groups and universal coverings of smooth projective varieties
• On the holomorphic convexity of reductive linear coverings of a projective complex algebraic manifold
• Ample vector bundles
• The 1-convex generalization of Grauert's direct image theorem
• Über eine Vermutung von Hartshorne
• Kähler hyperbolicity and \(L_ 2\)-Hodge theory
• Constructing Variations of Hodge Structure Using Yang-Mills Theory and Applications to Uniformization
• Remarques sur le revêtement universel des variétés kählériennes compactes
• On Kodaira Vanishing for Singular Varieties
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