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A Study in Derived Algebraic Geometry Volume 2 - AMS Book

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Description

Expand your mathematical research with A Study in Derived Algebraic Geometry: Volume 2. This specialized text from the American Mathematical Society explores the far-reaching generalizations of algebraic geometry and its applications in representation theory. This volume focuses on the development of deformation theory, Lie theory, and the theory of algebroids within the framework of derived algebraic geometry. Readers will find detailed explorations of the inf-scheme concept, which functions as an infinitesimal deformation of a scheme, along with a study of ind-coherent sheaves on such structures. As a vital resource for advanced mathematicians, this book provides the necessary groundwork to understand the six-functor formalism for D-modules in derived geometry. Whether you are working in algebra or representation theory, this volume offers deep technical insights into modern geometric structures and their theoretical implications.

Key Features

Explores deformation theory and Lie theory specifically within the context of derived algebraic geometry.

Introduces the concept of the inf-scheme as an infinitesimal deformation of a scheme.

Provides a detailed study of ind-coherent sheaves on inf-schemes for advanced research.

Covers the theory of algebroids to support complex mathematical applications.

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

Published by the American Mathematical Society as part of the Mathematical Surveys and Monographs series.

Product Specifications

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

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