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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)
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Submitter: 大本 亨(おおもと とおる)
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