A study in derived algebraic geometry

A study in derived algebraic geometry

by Gaitsgory, D., (Dennis)

Type Book
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Derived algebraic geometry is a far-reaching generalization of algebraic geometry. It has found numerous applications in other parts of mathematics, most prominently in representation theory. This volume 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 such. As an application of the general th…

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Title Statements

  • Full title :A study in derived algebraic geometry.

Summary

Derived algebraic geometry is a far-reaching generalization of algebraic geometry. It has found numerous applications in other parts of mathematics, most prominently in representation theory. This volume 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 such. As an application of the general theory, the six-functor formalism for D-modules in derived geometry is obtained. This volume consists o.

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Edition Statements

  • Publication Date:2017.

Publication Statements

The Physical Object

  • Description:1 online resource (474 pages)

Edition Identifiers

  • ISBN:9781470440879, 1470440873
  • oclc:on1004609136
  • LC Classification:QA564
  • Dewey Decimal:516.35

Table of Contents

Cover; Title page; Back Cover.

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Subjects

Algèbres de Lie Duality theory (Mathematics) Geometrie Géométrie algébrique geometry Geometry, Algebraic Lie algebras MATHEMATICS -- Geometry Principe de dualité (Mathématiques)

Writers

Gaitsgory, D., (Dennis) Rozenblyum, Nick

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  • A Study in Derived Algebraic Geometry, Volume I: …

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  • 1: A Study in Derived Algebraic Geometry: Corresp…

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  • A Study in Derived Algebraic Geometry: Deformatio…

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  • A study in derived algebraic geometry. Volume II,…

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