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A Study in Derived Algebraic Geometry Volume 2 - Mathematical Surveys

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Description

Derived algebraic geometry represents a far-reaching generalisation of classical algebraic geometry with applications across representation theory and beyond. This comprehensive volume develops deformation theory, Lie theory and the theory of algebroids within the derived algebraic geometry framework. It introduces the concept of inf-scheme as an infinitesimal deformation of a scheme and examines ind-coherent sheaves in this context. The work culminates in establishing the six-functor formalism for D-modules in derived geometry, providing essential theoretical foundations and practical applications for advanced mathematical study. Published by the American Mathematical Society as part of the Mathematical Surveys and Monographs series, this text serves as a rigorous resource for researchers and graduate students working in algebraic geometry, representation theory and related fields.

Key Features

Develops deformation theory, Lie theory and algebroid theory specifically within the derived algebraic geometry context.

Introduces the notion of inf-scheme as an infinitesimal deformation of a scheme for advanced theoretical work.

Studies ind-coherent sheaves on infinitesimal schemes to extend classical sheaf theory.

Establishes the six-functor formalism for D-modules in derived geometry as a key application.

Published by American Mathematical Society in the Mathematical Surveys and Monographs series for academic credibility.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
30 July 2017
Listed Since
20 April 2017

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