1999/12/21 by B. Toen, Toen, B.
Mathematics · #14C40 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #math.AG #math.KT #msc:14C40
paper · pdf · doi:10.48550/arxiv.math/9912172
36 pages, notes on a talk given in the second international conference on intersection theory, Bologna Dec. 99
arxiv created 1999/12/21 · openalex publication_date 1999/12/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.