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  1. Home
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  3. Regular and Irregular Holonomic D-Modules
  • Cited by 14
Publisher:
Cambridge University Press
Online publication date:
May 2016
Print publication year:
2016
Online ISBN:
9781316675625
DOI:
https://doi.org/10.1017/CBO9781316675625
Subjects:
Mathematics (general), Mathematics, Geometry and Topology, Algebra
Series:
London Mathematical Society Lecture Note Series (433)
Information

Book description

D-module theory is essentially the algebraic study of systems of linear partial differential equations. This book, the first devoted specifically to holonomic D-modules, provides a unified treatment of both regular and irregular D-modules. The authors begin by recalling the main results of the theory of indsheaves and subanalytic sheaves, explaining in detail the operations on D-modules and their tempered holomorphic solutions. As an application, they obtain the Riemann–Hilbert correspondence for regular holonomic D-modules. In the second part of the book the authors do the same for the sheaf of enhanced tempered solutions of (not necessarily regular) holonomic D-modules. Originating from a series of lectures given at the Institut des Hautes Études Scientifiques in Paris, this book is addressed to graduate students and researchers familiar with the language of sheaves and D-modules, in the derived sense.

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Contents

Contents
  • Introduction
    pp 1-6
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References
References
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