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Formality of equivariant intersection cohomology of algebraic varieties

Author(s): Andrzej Weber
Journal: Proc. Amer. Math. Soc. 131 (2003), 2633-2638.
MSC (2000): Primary 14F43, 55N25; Secondary 55N33
Posted: April 23, 2003
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Abstract: We present a proof that the equivariant intersection cohomology of any complete algebraic variety acted by a connected algebraic group $G$ is a free module over $H^{*}(BG)$.

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Additional Information:

Andrzej Weber
Affiliation: Institute of Mathematics, Warsaw University, ul. Banacha 2, 02--097 Warszawa, Poland
Email: aweber@mimuw.edu.pl

DOI: 10.1090/S0002-9939-03-07138-7
PII: S 0002-9939(03)07138-7
Keywords: Complete algebraic varieties, equivariant intersection cohomology
Received by editor(s): February 8, 2001
Posted: April 23, 2003
Additional Notes: This research was partially supported by grant KBN 2P03A 00218 and by the European Commission RTN {\em Geometric Analysis}
Communicated by: Mohan Ramachandran
Copyright of article: Copyright 2003, American Mathematical Society

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