A morphism of intersection homology

induced by an algebraic map

Author:
Andrzej Weber

Journal:
Proc. Amer. Math. Soc. **127** (1999), 3513-3516

MSC (1991):
Primary 14F32, 32S60; Secondary 14B05, 14C25

DOI:
https://doi.org/10.1090/S0002-9939-99-05081-9

Published electronically:
May 13, 1999

MathSciNet review:
1628444

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Abstract | References | Similar Articles | Additional Information

Abstract: Let be a map of algebraic varieties. Barthel, Brasselet, Fieseler, Gabber and Kaup have shown that there exists a homomorphism of intersection homology groups 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 . Our construction is an easy application of the Decomposition Theorem.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-99-05081-9

Keywords:
Intersection homology,
algebraic varieties,
morphism

Received by editor(s):
February 24, 1998

Published electronically:
May 13, 1999

Additional Notes:
The author was partially supported by KBN 2 P03A 01113 grant.

Communicated by:
Leslie Saper

Article copyright:
© Copyright 1999
American Mathematical Society