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Regular and Irregular Holonomic D-Modules, Paperback / softback Book

Paperback / softback

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 Etudes 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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Also in the London Mathematical Society Lecture Note Series series  |  View all