K-théorie et cohomologie des champs algébriques.

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...

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Bibliographic Details
Main Author: Toen, Bertrand
Language:FRE
Published: Université Paul Sabatier - Toulouse III 1999
Subjects:
Online Access:http://tel.archives-ouvertes.fr/tel-00773086
http://tel.archives-ouvertes.fr/docs/00/77/30/86/PDF/these.pdf
Description
Summary: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.