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Homotopical Algebraic Geometry II: Geometric Stacks and Applications
Bertrand ToënGabriele Vezzosi
其他書名
Geometric Stacks and Applications
出版American Mathematical Soc., 2008
主題Mathematics / Algebra / GeneralMathematics / Algebra / AbstractMathematics / Geometry / AlgebraicMathematics / Group Theory
ISBN08218409919780821840993
URLhttp://books.google.com.hk/books?id=UIDVCQAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋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, étale 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.