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A Study in Derived Algebraic Geometry
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A Study In Derived Algebraic Geometry S
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A Study in Derived Algebraic Geometry
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American Mathematical Society, US, 2017
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Paperback. Condition: New. Derived algebraic geometry is a far-reaching generalization of algebraic geometry. It has found numerous applications in various parts of mathematics, most prominently in representation theory. This two-volume monograph develops generalization of various topics in algebraic geometry in the context of derived algebraic geometry.Volume I presents the theory of ind-coherent sheaves, which are a "renormalization" of quasi-coherent sheaves and provide a natural setting for Grothendieck-Serre duality as well as geometric incarnations of numerous categories of interest in representation theory.Volume II develops deformation theory, Lie theory and the theory of algebroids in the context of derived algebraic geometry. To that end, it introduces the notion of inf-scheme, which is an infinitesimal deformation of a scheme and studies ind-coherent sheaves on inf-schemes. As an application of the general theory, the six-functor formalism for D-modules in derived geometry is obtained. Seller Inventory # LU-9781470453060
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A Study in Derived Algebraic Geometry Volumes I and II
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A Study In Derived Algebraic Geometry S
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A STUDY IN DERIVED ALGEBRAIC GEOMETRY S
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A Study in Derived Algebraic Geometry
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A Study in Derived Algebraic Geometry : Volumes I and II
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A Study in Derived Algebraic Geometry
Published by
American Mathematical Society, US, 2017
ISBN 10: 1470453061
ISBN 13: 9781470453060
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Seller: Rarewaves.com UK, London, United Kingdom
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Paperback. Condition: New. Derived algebraic geometry is a far-reaching generalization of algebraic geometry. It has found numerous applications in various parts of mathematics, most prominently in representation theory. This two-volume monograph develops generalization of various topics in algebraic geometry in the context of derived algebraic geometry.Volume I presents the theory of ind-coherent sheaves, which are a "renormalization" of quasi-coherent sheaves and provide a natural setting for Grothendieck-Serre duality as well as geometric incarnations of numerous categories of interest in representation theory.Volume II develops deformation theory, Lie theory and the theory of algebroids in the context of derived algebraic geometry. To that end, it introduces the notion of inf-scheme, which is an infinitesimal deformation of a scheme and studies ind-coherent sheaves on inf-schemes. As an application of the general theory, the six-functor formalism for D-modules in derived geometry is obtained. Seller Inventory # LU-9781470453060
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