A morphism of intersection homology induced by an algebraic map

Details A morphism of intersection homology induced by an algebraic map A morphism of intersection homology induced by an algebraic map

1997-12-30

arxiv.org/abs/alg-geom/9712032v1

Mathematics

Algebraic Geometry

3 pages, AMS-TeX

Scientific paper

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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