Equivariant Chern classes of singular algebraic varieties with group actions

Toru Ohmoto*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

24 Citations (Scopus)

Abstract

We define equivariant Chern-Schwartz-MacPherson classes of a possibly singular algebraic G-variety over the base field ℂ, or more generally over a field of characteristic 0. In fact, we construct a natural transformation CZ.ast;G from the G-equivariant constructible function functor \cal{F}G to the G-equivariant homology functor H z.ast;G or A*G (in the sense of Totaro-Edidin-Graham). This Cz.astG may be regarded as MacPherson's transformation for (certain) quotient stacks. The Verdier-Riemann-Roch formula takes a key role throughout.

Original languageEnglish
Pages (from-to)115-134
Number of pages20
JournalMathematical Proceedings of the Cambridge Philosophical Society
Volume140
Issue number1
DOIs
Publication statusPublished - 2006 Jan
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)

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