Homotopical Algebraic Geometry II: Geometric Stacks and Applications - Couverture souple

Toen, Bertrand; Vezzosi, Gabriele

 
9780821840993: Homotopical Algebraic Geometry II: Geometric Stacks and Applications

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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