Remarks on the \(L^ 2\)-cohomology of singular algebraic surfaces

DOI10.2969/jmsj/04110097zbMath0685.14016OpenAlexW2081412270MaRDI QIDQ1825921

Masayoshi Nagase

Publication date: 1989

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/04110097

zbMATH Keywords

intersection homologyFubini-Study metric\(L^ 2\)-cohomologynormal algebraic surface

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Classical real and complex (co)homology in algebraic geometry (14F25) de Rham cohomology and algebraic geometry (14F40)

Related Items (9)

Inner geometry of complex surfaces: a valuative approach ⋮ \(L ^{2}\)-\(\overline{\partial}\)-cohomology groups of some singular complex spaces ⋮ Hodge Theory of Singular Algebraic Curves ⋮ Complex analysis -- differential and algebraic methods in Kähler spaces. Abstracts from the workshop held April 9--14, 2023 ⋮ Hodge Decompositions and Dolbeault Complexes on Normal Surfaces ⋮ The thick-thin decomposition and the bilipschitz classification of normal surface singularities ⋮ LOCAL L² RESULTS FOR $\bar\partial$: THE ISOLATED SINGULARITIES CASE ⋮ Cheeger-Goreski-MacPherson's conjecture for the varieties with isolated singularities ⋮ Intersection Homology

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