Equivariant Chern classes of singular algebraic varieties with group actions

Details Equivariant Chern classes of singular algebraic varieties with group actions Equivariant Chern classes of singular algebraic varieties with group actions

2004-07-21

arxiv.org/abs/math/0407348v1

Math. Proc. Cambridge Phil. Soc. 140, (2006), 115--134 (a revised version)

Mathematics

Algebraic Geometry

AMS-LaTeX, 30 pages, no figure

Scientific paper

10.1017/S0305004105008820

We define the equivariant Chern-Schwartz-MacPherson class of a possibly singular algebraic variety with a group action over the complex number field (or a field of characteristic 0). In fact, we construct a natural transformation from the equivariant constructible function functor to the equivariant homology functor (in the sense of Totaro-Edidin-Graham), which may be regarded as MacPherson's transformation for (certain) quotient stacks. We discuss on other type Chern/Segre classes and give some applications generalizing orbifold Euler characteristics and Thom polynomials of singularities. The Verdier-Riemann-Roch formula takes a key role throughout.

Affiliated with

Also associated with

No associations

Rating

Equivariant Chern classes of singular algebraic varieties with group actions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Equivariant Chern classes of singular algebraic varieties with group actions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Equivariant Chern classes of singular algebraic varieties with group actions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-997