Localization in equivariant intersection theory and the Bott residue formula

Details Localization in equivariant intersection theory and the Bott residue formula Localization in equivariant intersection theory and the Bott residue formula

1995-08-01

arxiv.org/abs/alg-geom/9508001v2

Mathematics

Algebraic Geometry

This paper is a substantially revised version of our preprint "Equivariant Chow groups and the Bott residue formula". Current

Scientific paper

The purpose of this paper is to prove the localization theorem for torus actions in equivariant intersection theory. Using the theorem we give another proof of the Bott residue formula for Chern numbers of bundles on smooth complete varieties. In addition, our techniques allow us to obtain residue formulas for bundles on a certain class of singular schemes which admit torus actions. This class is rather special, but it includes some interesting examples such as complete intersections and Schubert varieties.

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