English

Notes on G-theory of Deligne-Mumford stacks

Algebraic Geometry 2007-05-23 v1 K-Theory and Homology

Abstract

Based on the methods used by the author to prove the Riemann-Roch formula for algebraic stacks, this paper contains a description of the rationnal G-theory of Deligne-Mumford stacks over general bases. We will use these results to study equivariant K-theory, and also to define new filtrations on K-theory of algebraic stacks.

Keywords

Cite

@article{arxiv.math/9912172,
  title  = {Notes on G-theory of Deligne-Mumford stacks},
  author = {B. Toen},
  journal= {arXiv preprint arXiv:math/9912172},
  year   = {2007}
}

Comments

36 pages, notes on a talk given in the second international conference on intersection theory, Bologna Dec. 99