The Hodge structures on the intersection homology of varieties with isolated singularities

DOI10.1215/S0012-7094-87-05530-XzbMath0645.14003MaRDI QIDQ1103011

Steven Zucker

Publication date: 1987

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

intersection homologymixed Hodge structurearithmetic quotient\(L_ 2\)-cohomology

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Other homology theories in algebraic topology (55N35) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25) (Co)homology theory in algebraic geometry (14F99)

Related Items (4)

On the L² cohomology of complex spaces II ⋮ AUTOMORPHIC LEFSCHETZ PROPERTIES FOR NONCOMPACT ARITHMETIC MANIFOLDS ⋮ Hodge Decompositions and Dolbeault Complexes on Normal Surfaces ⋮ On mixed Hodge structures of Shimura varieties attached to inner forms of the symplectic group of degree two

Cites Work

• Modules de Hodge polarisables. (Polarisable Hodge modules)
• \(L_ 2\)-cohomology and intersection homology of certain algebraic varieties with isolated singularities
• A reduction theorem for cohomology groups of very strongly q-convex Kähler manifolds
• L//2 cohomology of warped products and arithmetic groups
• Carleman estimates for the Laplace-Beltrami equation on complex manifolds
• Théorie de Hodge. II. (Hodge theory. II)
• Théorie de Hodge. III
• Essential self-adjointness of powers of generators of hyperbolic equations
• The Parabolic Contribution to the Number of Linearly Independent Automorphic Forms on a Certain Bounded Domain
• Hilbert Space Methods in the Theory of Harmonic Integrals
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