Download E-books Homotopical Algebraic Geometry II: Geometric Stacks and Applications (Memoirs of the American Mathematical Society) (v. II) PDF

This is often the second one a part of a chain of papers known as ""HAG"", dedicated to constructing the principles of homotopical algebraic geometry. The authors begin by way of defining and learning generalizations of normal notions of linear algebra in an summary monoidal version classification, reminiscent of derivations, etale and delicate morphisms, flat and projective modules, and so forth. They then use their conception of stacks over version different types to outline a common suggestion of geometric stack over a base symmetric monoidal version type $C$, and turn out that this thought satisfies the predicted houses.

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