\(L_ 2\)-cohomology of Kähler varieties with isolated singularities

DOI10.4310/jdg/1214448444zbMath0780.14010OpenAlexW1595550010WikidataQ115180666 ScholiaQ115180666MaRDI QIDQ1205535

Leslie Saper

Publication date: 1 April 1993

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214448444

zbMATH Keywords

intersection cohomologyKähler metricHodge structure\(L_ 2\)-cohomology

Mathematics Subject Classification ID

Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43)

Related Items (14)

L^p-curvature and the Cauchy-Riemann equation near an isolated singular point ⋮ Index theory of geometric Fredholm operators on varieties with isolated singularities ⋮ The \(\bar{\partial}\)-equation, duality, and holomorphic forms on a reduced complex space ⋮ Symplectic manifolds, \(L^p\)-cohomology and \(q\)-parabolicity ⋮ Complex analysis -- differential and algebraic methods in Kähler spaces. Abstracts from the workshop held April 9--14, 2023 ⋮ \(L^{\infty}\) cohomology is intersection cohomology ⋮ Classical Poincaré metric pulled back off singularities using a Chow-type theorem and desingularization ⋮ On the \(L^2\)-\(\overline{\partial}\)-cohomology of certain complete Kähler metrics ⋮ Sasaki-Einstein metrics and K-stability ⋮ Hodge Decompositions and Dolbeault Complexes on Normal Surfaces ⋮ Poincaré duality for \(L^p\) cohomology on subanalytic singular spaces ⋮ On mixed Hodge structures of Shimura varieties attached to inner forms of the symplectic group of degree two ⋮ The Kodaira embedding theorem for Kähler varieties with isolated singularities ⋮ Intersection Homology

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