Homotopical Algebraic Geometry Ii Geometric Stacks And Applications
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Homotopical Algebraic Geometry II: Geometric Stacks and Applications
Author: Bertrand Toën
language: en
Publisher: American Mathematical Soc.
Release Date: 2008
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.
Homotopical Algebraic Geometry II
The authors start by defining and studying generalizations of standard notions of linear algebra in an abstract monoidal model category. 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.
Simplicial Methods for Operads and Algebraic Geometry
Author: Ieke Moerdijk
language: en
Publisher: Springer Science & Business Media
Release Date: 2010-12-01
"This book is an introduction to two higher-categorical topics in algebraic topology and algebraic geometry relying on simplicial methods. It is based on lectures delivered at the Centre de Recerca Matemàtica in February 2008, as part of a special year on Homotopy Theory and Higher Categories"--Foreword