A morphism of intersection homology induced by an algebraic map

1997/12/30 by Andrzej Weber, Weber, Andrzej
Mathematics · Pharmacology, Toxicology and Pharmaceutics · #Algebraic Geometry and Number Theory #Alkaloids: synthesis and pharmacology #Homotopy and Cohomology in Algebraic Topology #alg-geom #math.AG

paper · pdf · doi:10.48550/arxiv.alg-geom/9712032

3 pages, AMS-TeX

arxiv created 1997/12/30 · arxiv updated 2009/11/30

Abstract

Let f:X-->Y be a map of algebraic varieties. Barthel, Brasselet, Fieseler, Gabber and Kaup have shown that there exists a homomorphism of intersection homology groups f^*:IH^*(Y)-->IH^*(X) compatible with the induced homomorphism on cohomology. The crucial point in the argument is reduction to the finite characteristic. We give an alternative and short proof of the existence of a homomorphism f^*. Our construction is an easy application of the Decomposition Theorem.

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