Infinite dimensionality of the middle \(L^2\)-cohomology on non-compact Kähler hyperbolic manifolds
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Publication:863786
DOI10.2977/prims/1166642154zbMath1115.32012OpenAlexW2049813371MaRDI QIDQ863786
Publication date: 1 February 2007
Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2977/prims/1166642154
Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Vanishing theorems (32L20)
Related Items (3)
A Note on the Bergman metric of Bounded homogeneous Domains ⋮ \(L^2\) vanishing theorem on some Kähler manifolds ⋮ Holomorphic Lefschetz fixed point formula for non-compact Kähler manifolds
Cites Work
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- \(L^2\) harmonic forms on some complete Kähler manifolds
- \(L^ 2\)-cohomology and index theorem for the Bergman metric
- Cheeger-Goreski-MacPherson's conjecture for the varieties with isolated singularities
- On the infinite dimensionality of the middle \(L^ 2\) cohomology of complex domains
- \(L_ 2\) cohomology of pseudoconvex domains with complete Kähler metric
- \(L_ 2\) cohomology of the Bergman metric for weakly pseudoconvex domains
- An estimate for the Bergman distance on pseudoconvex domains
- The Bergman kernel and biholomorphic mappings of pseudoconvex domains
- Vanishing theorems for \(L^2\)-cohomology on infinite coverings of compact Kähler manifolds and applications in algebraic geometry
- The moduli space of Riemann surfaces is Kähler hyperbolic
- Fiber spaces over Teichmüller spaces
- Kähler hyperbolicity and \(L_ 2\)-Hodge theory
- THE BERGMAN METRIC ON TEICHMÜLLER SPACE
- Kähler parabolicity and the Euler number of compact manifolds of non-positive sectional curvature
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