An extension theorem for holomorphic functions of slow growth on covering spaces of projective manifolds

DOI10.1007/BF02921678zbMath0827.32011MaRDI QIDQ1897239

Finnur Lárusson

Publication date: 28 November 1995

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

zbMATH Keywords

dualitycovering spacevanishing theoremprojective manifoldShafarevich conjectureslow growthextension of holomorphic function\(L_ 2\) cohomology

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) Coverings in algebraic geometry (14E20) Vanishing theorems (32L20)

Related Items

Hartogs Type Theorems for CR L² Functions on Coverings of Strongly Pseudoconvex Manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Un théorème de dualité
• Convexity properties of coverings of smooth projective varieties
• Covering spaces of families of compact Riemann surfaces
• On the fundamental group of a compact Kähler manifold
• A Bochner-Hartogs type theorem for coverings of compact Kähler manifolds
• Über Modifikationen und exzeptionelle analytische Mengen
• Kähler hyperbolicity and \(L_ 2\)-Hodge theory
• A special Stoke's theorem for complete Riemannian manifolds
• Estimations $\mathrm{L}^2$ pour l'opérateur $\bar \partial$ d'un fibré vectoriel holomorphe semi-positif au-dessus d'une variété kählérienne complète