Notes on G-theory of Deligne-Mumford stacks

Details Notes on G-theory of Deligne-Mumford stacks Notes on G-theory of Deligne-Mumford stacks

1999-12-21

arxiv.org/abs/math/9912172v1

Mathematics

Algebraic Geometry

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

Scientific paper

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.

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