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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A morphism of intersection homology induced by an algebraic map
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by Andrzej Weber PDF
Proc. Amer. Math. Soc. 127 (1999), 3513-3516 Request permission

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
  • 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
  • © Copyright 1999 American Mathematical Society
  • 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
  • MathSciNet review: 1628444