The Decomposition Theorem and the topology of algebraic maps

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We 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.
117 pages. New title. Major structure changes. Final version of a survey to appear in the Bulletin of the AMS

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Algebraic Geometry, Algebraic Topology, 14

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http://salesiana.dossiersoluciones.com/handle/123456789/227019

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0712.0349
 http://arxiv.org/abs/0712.0349

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arXiv