REGULAR AND IRREGULAR HOLONOMIC D-MODULES by Masaki Kashiwara, Pierre Schapira ( 9781316613450 )

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Title:

REGULAR AND IRREGULAR HOLONOMIC D-MODULES

By:

Masaki Kashiwara, Pierre Schapira

Format:

Paperback

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£24.99

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£22.49

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ISBN 10:

1316613453

ISBN 13:

9781316613450

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Publisher:

CAMBRIDGE UNIVERSITY PRESS

Pub. date:

26 May, 2016

Series:

London Mathematical Society Lecture Note Series 433

Pages:

117

Description:

A unified treatment of the Riemann-Hilbert correspondence for (not necessarily regular) holonomic D-modules using indsheaves.

Synopsis:

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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Imprint:

Cambridge University Press

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