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arXiv · alg-geom/9712032

A morphism of intersection homology induced by an algebraic map

Andrzej Weber
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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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Andrzej Weber. 1997-12-30. A morphism of intersection homology induced by an algebraic map. https://arxiv.org/abs/alg-geom/9712032

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