Homotopical algebraic geometry II : geometric stacks and applications /

Homotopical algebraic geometry II : geometric stacks and applications /

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Bibliographic Details
Author / Creator:	Toën, Bertrand, 1973-
Imprint:	Providence, R.I. : American Mathematical Society, c2008.
Description:	ix, 224 p. ; 26 cm.
Language:	English
Series:	Memoirs of the American Mathematical Society, 0065-9266 ; no. 902
Subject:	Algebraic stacks. Algebra, Homological. Geometry, Algebraic. Categories (Mathematics) Algebra, Homological. Algebraic stacks. Categories (Mathematics) Geometry, Algebraic.
Format:	Print Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/6832091

Hidden Bibliographic Details
Other authors / contributors:	Vezzosi, Gabriele, 1966-
ISBN:	9780821840993 (alk. paper) 0821840991 (alk. paper)
Notes:	"May 2008, volume 193, number 902 (second of 5 numbers)." Includes bibliographical references (p. 219-221) and index.

Table of 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