Vanishing theorem on parabolic Kähler manifolds

DOI10.1007/s10711-023-00872-1MaRDI QIDQ6183216

Teng Huang

Publication date: 26 January 2024

Published in: Geometriae Dedicata (Search for Journal in Brave)

zbMATH Keywords

line bundlecompact Kähler manifold

Mathematics Subject Classification ID

Compact Kähler manifolds: generalizations, classification (32J27) Holomorphic bundles and generalizations (32L05)

Cites Work

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• On curvature and characteristic classes of a Riemann manifold
• On Euler characteristic and fundamental groups of compact manifolds
• Bounds on the dimension of \(L^ 2\) holomorphic sections of vector bundles over complete Kähler manifolds of finite volume
• Manifolds of nonpositive curvature
• Compact Kähler manifolds homotopic to negatively curved Riemannian manifolds
• Vanishing theorems on complete Kähler manifolds and their applications
• Vanishing theorems for \(L^2\)-cohomology on infinite coverings of compact Kähler manifolds and applications in algebraic geometry
• Von Neumann dimension, Hodge index theorem and geometric applications
• \(L^2\) vanishing theorem on some Kähler manifolds
• Holomorphic Morse inequalities and Bergman kernels
• Kähler hyperbolicity and \(L_ 2\)-Hodge theory
• Hodge Theory of Holomorphic Vector Bundle on Compact Kähler Hyperbolic Manifold
• Kähler parabolicity and the Euler number of compact manifolds of non-positive sectional curvature

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