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         Grothendieck Topology:     more books (23)
  1. Topos Theory: Grothendieck Topology
  2. Alexander Grothendieck: An entry from Gale's <i>Science and Its Times</i> by K. Lee Lerner, 2001
  3. Counterexamples to "probleme des topologies" of Grothendieck (Annales Academiæ Scientiarum Fennicæ) by Jari Taskinen, 1986
  4. Zariski Topology: Mathematics, Algebraic Geometry, Topology, Algebraic Variety, Algebraic Curve, Homeomorphism, Grothendieck Topology
  5. Grothendieck topologies,: Notes on a seminar. Spring, 1962 by Michael Artin, 1962
  6. Alexander Grothendieck: Mathematician, Algebraic geometry, Algebraic topology, Number theory, Category theory, Galois theory, Homological algebra, Functional ... Medal, Crafoord Prize, Academic journal
  7. Motivic Homotopy Theory: Lectures at a Summer School in Nordfjordeid, Norway, August 2002 (Universitext) by Bjorn Ian Dundas, Marc Levine, et all 2006-12-28
  8. Introduction to Etale Cohomology (Universitext) by Günter Tamme, 1994-10-27
  9. The Grothendieck Festschrift, Volume III: A Collection of Articles Written in Honor of the 60th Birthday of Alexander Grothendieck (Modern Birkhäuser Classics) (English and French Edition)
  10. Virtual Topology and Functor Geometry (Lecture Notes in Pure and Applied Mathematics) by Fred Van Oystaeyen, 2007-11-15
  11. The Grothendieck Festschrift, Volume I: A Collection of Articles Written in Honor of the 60th Birthday of Alexander Grothendieck (Modern Birkhäuser Classics) (English and French Edition)
  12. The Grothendieck Theory of Dessins d'Enfants (London Mathematical Society Lecture Note Series) by Leila Schneps, 1994-09-30
  13. The Grothendieck Festschrift, Volume II: A Collection of Articles Written in Honor of the 60th Birthday of Alexander Grothendieck (Modern Birkhäuser Classics) (English and French Edition)
  14. The Grothendieck Festschrift, Volume I: A Collection of Articles Written in Honor of the 60th Birthday of Alexander Grothendieck (Progress in Mathematics) (English and French Edition)

61. Untitled
For a (semi)model category M, we define a notion of a ''homotopy'' Grothendiecktopology on M, as well as its associated model category of stacks.
http://www-math.unice.fr/~toen/
Bertrand Toen
Parc Valrose, 06108 Nice Cedex 2 Tel email : toen@math.unice.fr
Publications, preprints and notes: Ph. D. Toulouse June 99 (file .dvi 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. K-theory No. 18, 1999 (file .dvi The goal of this paper is to prove Riemann-Roch type theorems for Deligne-Mumford algebraic stacks. For this, we introduce a "cohomology with coefficients in representations" and a Chern character, and we prove a Grothendieck-Riemann-Roch theorem for the Riemann-Roch transformation it defines. As a corollary we obtain an Hirzebruch-Riemann-Roch formula for the Euler characteristic of a coherent sheaf, and some formulas for the different topological Euler characteristics of complex algebraic stacks. Notes sur la G-theorie rationelle des champs de Deligne-Mumford

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