Homotopical Algebraic Geometry, Volume 2; Geometric Stacks and Applications (Memoirs of the American Mathematical Society) - Softcover

Toen, Bertrand; Vezzosi, Gabriele

 
9780821840993: Homotopical Algebraic Geometry, Volume 2; Geometric Stacks and Applications (Memoirs of the American Mathematical Society)
Softcover
ISBN 10: 0821840991 ISBN 13: 9780821840993
Verlag: American Mathematical Society, 2008

Inhaltsangabe

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.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Reseña del editor

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.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
American Mathematical Society
Erscheinungsdatum
2008
Sprache
Englisch
ISBN 10 
0821840991
ISBN 13 
9780821840993
Einband
Tapa blanda
Anzahl der Seiten
224
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Verantwortliche Person
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