\(L^2\) -cohomology on the coverings of a compact complex manifold
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Publication:1428377
DOI10.1007/BF02384557zbMath1066.32012MaRDI QIDQ1428377
Jean-Pierre Demailly, Frédéric Campana
Publication date: 19 May 2005
Published in: Arkiv för Matematik (Search for Journal in Brave)
Analytic sheaves and cohomology groups (32C35) Index theory and related fixed-point theorems on manifolds (58J20) Analytic spaces (32C99) Pseudoconvex domains (32T99)
Related Items (6)
A factorization theorem for curves with vanishing self-intersection ⋮ Some mixed Hodge structures on \(l^{2}\)-cohomology groups of coverings of Kähler manifolds ⋮ Finiteness of fundamental groups ⋮ Szegő kernels and Poincaré series ⋮ Cohomology dimension growth for Nakano \(q\)-semipositive line bundles ⋮ Local Simple Connectedness of Resolutions of Log-Terminal Singularities
Cites Work
- A reduction theorem for cohomology groups of very strongly q-convex Kähler manifolds
- Von Neumann invariants of coherent analytic sheaves
- Carleman estimates for the Laplace-Beltrami equation on complex manifolds
- Kähler hyperbolicity and \(L_ 2\)-Hodge theory
- The 𝐿² ∂̄-method, weak Lefschetz theorems, and the topology of Kähler manifolds
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