Von Neumann invariants of coherent analytic sheaves

DOI10.1007/PL00004413zbMath0964.32008OpenAlexW2023786188MaRDI QIDQ1579109

Philippe Eyssidieux

Publication date: 27 November 2000

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00004413

zbMATH Keywords

Galois coveringcomplex spacescoherent analytic sheaves\(L^2\)-cohomology groups\(L^p\)-cohomology theory for coherent analytic sheavesAtiyah's \(L^2\) index theoremcentral extension by \(S^1\)discrete co-compact action

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Analytic sheaves and cohomology groups (32C35) Index theory and related fixed-point theorems on manifolds (58J20) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Compact complex surfaces (32J15) Coverings in algebraic geometry (14E20)

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 ⋮ \(L^2\) -cohomology on the coverings of a compact complex manifold ⋮ Szegő kernels and Poincaré series ⋮ \(L^2\) adjoint linear systems

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