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Notes on G-theory of Deligne-Mumford stacks

B. Toen

math.AGarXiv:math/9912172

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.

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