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Overview"This is the second part of a series of papers called """"HAG"""", devoted to developing the foundations of homotopical algebraic geometry. The authors start by defining and studying generalizations of standard notions of linear algebra in an abstract monoidal model category, such as derivations, etale and smooth morphisms, flat and projective modules, etc. They then use their theory of stacks over model categories to define a general notion of geometric stack over a base symmetric monoidal model category $C$, and prove that this notion satisfies the expected properties." Full Product DetailsAuthor: Bertrand Toen , Gabriele VezzosiPublisher: American Mathematical Society Imprint: American Mathematical Society Volume: 193, 902 Weight: 0.360kg ISBN: 9780821840993ISBN 10: 0821840991 Pages: 224 Publication Date: 30 April 2008 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Temporarily unavailable  The supplier advises that this item is temporarily unavailable. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out to you. Table of ContentsIntroduction 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.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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