\(L_ 2\)-cohomology and intersection homology of certain algebraic varieties with isolated singularities

DOI10.1007/BF01388801zbMath0611.14018OpenAlexW2065096582MaRDI QIDQ1087601

Leslie Saper

Publication date: 1985

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143284

zbMATH Keywords

Kähler metricisolated singularitiesintersection homology\(L_ 2\)-cohomology

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Singularities of surfaces or higher-dimensional varieties (14J17) Local complex singularities (32S05) Other homology theories in algebraic topology (55N35) (Co)homology theory in algebraic geometry (14F99)

Related Items

Index theory of geometric Fredholm operators on varieties with isolated singularities, The Hodge structures on the intersection homology of varieties with isolated singularities, An extension of Hodge theory to Kähler spaces with isolated singularities of restricted type, Complete negatively pinched Kähler surfaces of finite volume, A characterization of ball quotients with smooth boundary, On the L² cohomology of complex spaces II, Complex analysis -- differential and algebraic methods in Kähler spaces. Abstracts from the workshop held April 9--14, 2023, \(L^2\)-cohomology for affine spaces and an application to monads, \(L^{\infty}\) cohomology is intersection cohomology, Pure Hodge structure of the harmonic \(L^ 2\)-forms on singular algebraic surfaces, Classical Poincaré metric pulled back off singularities using a Chow-type theorem and desingularization, Morse inequalities for covering manifolds, Hodge Decompositions and Dolbeault Complexes on Normal Surfaces, A criterion for Moishezon spaces with isolated singularities, Cohomology of flat currents on definable pseudomanifolds, Poincaré duality for \(L^p\) cohomology on subanalytic singular spaces, The Kodaira embedding theorem for Kähler varieties with isolated singularities, Cheeger-Goreski-MacPherson's conjecture for the varieties with isolated singularities, Intersection Homology

Cites Work

• \(L^ 2\)-cohomology of normal algebraic surfaces. I
• Intersection homology. II
• The topology of normal singularities of an algebraic surface and a criterion for simplicity
• Intersection homology theory
• L//2 cohomology of warped products and arithmetic groups
• On the equivalence of imbeddings of exceptional complex spaces
• Compactification of arithmetic quotients of bounded symmetric domains
• Théorie de Hodge. II. (Hodge theory. II)
• Théorie de Hodge. III
• A special Stoke's theorem for complete Riemannian manifolds
• Stable real cohomology of arithmetic groups
• Normal Two-Dimensional Singularities. (AM-71)
• The Parabolic Contribution to the Number of Linearly Independent Automorphic Forms on a Certain Bounded Domain
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item