Champs Algebriques - Laumon, G. (Universite de Paris-Sud, Orsay, France) - Books - Springer-Verlag Berlin and Heidelberg Gm - 9783540657613 - November 22, 1999
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Champs Algebriques 2000 edition

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The theory of algebraic stacks emerged in the late sixties and early seventies in the works of P. Deligne, D. Mumford, and M. Artin. The language of algebraic stacks has been used repeatedly since then, mostly in connection with moduli problems: the increasing demand for an accurate description of moduli "spaces" came from various areas of mathematics and mathematical physics. Unfortunately the basic results on algebraic stacks were scattered in the literature and sometimes stated without proofs. The aim of this book is to fill this reference gap by providing mathematicians with the first systematic account of the general theory of (quasiseparated) algebraic stacks over an arbitrary base scheme. It covers the basic definitions and constructions, techniques for extending scheme-theoretic notions to stacks, Artin's representability theorems, but also new topics such as the "lisse-étale" topology.


224 pages, black & white illustrations

Media Books     Hardcover Book   (Book with hard spine and cover)
Released November 22, 1999
ISBN13 9783540657613
Publishers Springer-Verlag Berlin and Heidelberg Gm
Pages 224
Dimensions 165 × 238 × 22 mm   ·   489 g
Language French  

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