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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

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
Published electronically: May 13, 1999
MathSciNet review: 1628444
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Abstract | References | Similar Articles | Additional Information

Abstract: Let $f:X \rightarrow Y$ be a map of algebraic varieties. Barthel, Brasselet, Fieseler, Gabber and Kaup have shown that there exists a homomorphism of intersection homology groups $f^{*}:IH^{*}(Y)\rightarrow IH^{*}(X)$ 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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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-99-05081-9
PII: S 0002-9939(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