Hokkaido University Collection of Scholarly and Academic Papers >
Graduate School of Science / Faculty of Science >
Peer-reviewed Journal Articles, etc >
Equivariant Chern classes of singular algebraic varieties with group actions
Title: | Equivariant Chern classes of singular algebraic varieties with group actions |
Authors: | OHMOTO, TORU1 Browse this author |
Authors(alt): | 大本, 亨1 |
Issue Date: | Jan-2006 |
Publisher: | Cambridge University Press |
Journal Title: | Mathematical Proceedings of the Cambridge Philosophical Society |
Volume: | 140 |
Issue: | 1 |
Start Page: | 115 |
End Page: | 134 |
Publisher DOI: | 10.1017/S0305004105008820 |
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 CG* from the G-equivariant constructible function functor FG to the G-equivariant homology functor HG* or AG* (in the sense of Totaro–Edidin–Graham). This CG* may be regarded as MacPherson’s transformation for (certain) quotient stacks. The Verdier–Riemann–Roch formula takes a key role throughout. |
Rights: | Copyright © 2006 Cambridge Philosophical Society |
Type: | article (author version) |
URI: | http://hdl.handle.net/2115/5513 |
Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
|
Submitter: 大本 亨(おおもと とおる)
|