Ring structure, uniform expressions and intersection homology

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dc.creatorFine, Jonathan
dc.date1998-05-22
dc.date.accessioned2026-07-07T05:24:49Z
dc.date.available2026-07-07T05:24:49Z
dc.descriptionAlthough intersection homology lacks a ring structure, certain expressions (called uniform) in the intersection homology of an irreducible projective variety $X$ always give the same value, when computed via the decomposition theorem on any resolution $X_r\to X$. This paper uses uniform (and non-uniform) expressions to define what is believed to be the usual intersection homology (and its local-global variant) of a convex polytope (or a projective toric variety). Such expressions are generated by the facets, and so may lead to necessary numerical conditions on the flag vector. Most of the concepts, however, apply to more general algebraic varieties, and perhaps some other situations also.
dc.description15 pages. LaTeX
dc.identifierhttps://arxiv.org/abs/math/9805100
dc.identifierhttp://arxiv.org/abs/math/9805100
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76953
dc.subjectAlgebraic Geometry
dc.subjectAlgebraic Topology
dc.subjectCombinatorics
dc.subjectMetric Geometry
dc.subjectRings and Algebras
dc.subjectRepresentation Theory
dc.subject55N33; 14M25; 52B05
dc.titleRing structure, uniform expressions and intersection homology
dc.typetext

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