The Decomposition Theorem and the topology of algebraic maps

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dc.creatorde Cataldo, Mark Andrea
dc.creatorMigliorini, Luca
dc.date2007-12-03
dc.date2009-04-16
dc.date.accessioned2026-07-07T13:04:02Z
dc.date.available2026-07-07T13:04:02Z
dc.descriptionWe give a motivated introduction to the theory of perverse sheaves, culminating in the Decomposition Theorem of Beilinson, Bernstein, Deligne and Gabber. A goal of this survey is to show how the theory develops naturally from classical constructions used in the study of topological properties of algebraic varieties. While most proofs are omitted, we discuss several approaches to the Decomposition Theorem, indicate some important applications and examples.
dc.description117 pages. New title. Major structure changes. Final version of a survey to appear in the Bulletin of the AMS
dc.identifierhttps://arxiv.org/abs/0712.0349
dc.identifierhttp://arxiv.org/abs/0712.0349
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/227019
dc.subjectAlgebraic Geometry
dc.subjectAlgebraic Topology
dc.subject14
dc.titleThe Decomposition Theorem and the topology of algebraic maps
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