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Bibliographic Details

Title: Homotopical Algebraic Geometry II: Geometric Stacks and Applications (Memoirs of the American Mathematical Society)
Publisher: Amer Mathematical Society
Publication Date: 2008
Language: English
ISBN 10: 0821840991
ISBN 13: 9780821840993
Binding: Soft cover
Condition: Fine

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Synopsis

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.

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