
Regular and Irregular Holonomic D-Modules
Cambridge University Press
Published on 26. May 2016
Book
Paperback/Softback
118 pages
978-1-316-61345-0 (ISBN)
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.
More details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Product notice
Paperback (trade)
Dimensions
Height: 229 mm
Width: 152 mm
Thickness: 7 mm
Weight
184 gr
ISBN-13
978-1-316-61345-0 (9781316613450)
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Schweitzer Classification
Other editions
Additional editions

Masaki Kashiwara | Pierre Schapira
Regular and Irregular Holonomic D-Modules
E-Book
06/2016
Cambridge University Press
€49.99
Available for download

Masaki Kashiwara
Regular and Irregular Holonomic D-Modules
E-Book
05/2016
Cambridge University Press
€44.49
Available for download
Persons
Masaki Kashiwara is a project professor in the Research Institute for Mathematical Sciences at Kyoto University, Japan. He is an internationally recognized specialist of algebraic analysis, the new branch of mathematics created by Mikio Sato in the 1970s. Pierre Schapira is Professor Emeritus at the University of Paris VI. He is an internationally recognized specialist of algebraic analysis, the new branch of mathematics created by Mikio Sato in the 1970s.
Author
Kyoto University, Japan
Universite de Paris VI (Pierre et Marie Curie)
Content
Introduction; 1. A review on sheaves and D-modules; 2. Indsheaves; 3. Tempered solutions of D-modules; 4. Regular holonomic D-modules; 5. Indsheaves on bordered spaces; 6. Enhanced indsheaves; 7. Holonomic D-modules; 8. Integral transforms; References; List of notations; Index.