Title Homotopical algebraic geometry II : geometric stacks and applications / Bertrand Toën, Gabriele Vezzosi

Published Providence, R.I. : American Mathematical Society, ©2008

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Description 1 online resource (ix, 224 pages) Series Memoirs of the American Mathematical Society, 1947-6221 ; v. 902 Memoirs of the American Mathematical Society ; no. 902. 0065-9266 Contents Introduction Part 1. General theory of geometric stacks Introduction to Part 1 1.1. Homotopical algebraic context 1.2. Preliminaries on linear and commutative algebra in an HA context 1.3. Geometric stacks: Basic theory 1.4. Geometric stacks: Infinitesimal theory Part 2. Applications Introduction to Part 2 2.1. Geometric $n$-stacks in algebraic geometry (after C. Simpson) 2.2. Derived algebraic geometry 2.3. Complicial algebraic geometry 2.4. Brave new algebraic geometry Notes "May 2008, volume 193, number 902 (second of 5 numbers)." Bibliography Includes bibliographical references (pages 219-221) and index Notes Print version record Subject Algebraic stacks. Algebra, Homological. Geometry, Algebraic. Categories (Mathematics) Algebraic fields. MATHEMATICS -- Geometry -- General. Algebraic fields Algebra, Homological Algebraic stacks Categories (Mathematics) Geometry, Algebraic Form Electronic book Author Vezzosi, Gabriele, 1966- ISBN 9781470405083 1470405083

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