ENGLISH

Homotopical Algebraic Geometry II: Geometric Stacks and Applications

By Bertrand Toën , Gabriele Vezzosi

Book information

Publisher
Amer Mathematical Society
Year
2008
ISBN
0821840991, 9780821840993
Language
english
Format
PDF
Filesize
2 MB (2035138 bytes)
Series
Memoirs of the American Mathematical Society) (v. II
Pages
224\228
Time added
2014-06-11 18:03:36

Description

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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