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Homotopical algebraic geometry II : geometric stacks and applications

Author: Bertrand Toën; Gabriele Vezzosi
Publisher: Providence, R.I. : American Mathematical Society, ©2008.
Series: Memoirs of the American Mathematical Society, no. 902.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

The second part of a series of papers called ""HAG"", devoted to developing the foundations of homotopical algebraic geometry, this work defines and studies generalizations of standard notions of  Read more...

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Document Type: Book
All Authors / Contributors: Bertrand Toën; Gabriele Vezzosi
ISBN: 9780821840993 0821840991
OCLC Number: 191010740
Notes: "May 2008, volume 193, number 902 (second of 5 numbers)."
Description: ix, 224 pages ; 26 cm.
Contents: Introduction Part 1. General theory of geometric stacks: Introduction to Part 1 Homotopical algebraic context Preliminaries on linear and commutative algebra in an HA context Geometric stacks: Basic theory Geometric stacks: Infinitesimal theory Part 2. Applications: Introduction to Part 2 Geometric $n$-stacks in algebraic geometry (after C. Simpson) Derived algebraic geometry Complicial algebraic geometry Brave new algebraic geometry Appendix A. Classifying spaces of model categories Appendix B. Strictification Appendix C. Representability criterion (after J. Lurie) Bibliography Index.
Series Title: Memoirs of the American Mathematical Society, no. 902.
Responsibility: Bertrand Toën, Gabriele Vezzosi.

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