1999/08/18 by Bertrand Toën, Bertrand Toen, Toen, Bertrand · 2 citations
Mathematics · #19E08 #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:19E08
paper · pdf · doi:10.48550/arxiv.math/9908097
207 pages, french, author's PhD. thesis. Few details are corrected
openalex publication_date 1999/08/18 · arxiv created 1999/12/05 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This is the integral text of my thesis. The first part is an expanded version of "Riemann-Roch theorems for Deligne-Mumford stacks", where I deal with Artin stacks over general bases. In the second part, I prove some Riemann-Roch statment for D-modules on Deligne-Mumford stacks, and I also consider the problem of algebraization of analytic stacks.