Equivariant Chern classes of singular algebraic varieties with group actions

Toru Ohmoto*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

28 Citations (Scopus)


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
Issue number1
Publication statusPublished - 2006 Jan
Externally publishedYes

ASJC Scopus subject areas

  • General Mathematics


Dive into the research topics of 'Equivariant Chern classes of singular algebraic varieties with group actions'. Together they form a unique fingerprint.

Cite this