Regular and Irregular Holonomic D-Modules
Paperback/Mathematics 117 pages English May 26, 2016
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Cambridge University Press
Regular and Irregular Holonomic D-Modules
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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.
- Author:
- Masaki Kashiwara, Pierre Schapira
- Publisher:
- Cambridge University Press
- Publication Date:
- May 26, 2016
- Number of pages:
- 117 pages
- Language:
- English
- Binding:
- Paperback/Mathematics
- ISBN-10:
- 1316613453
- ISBN-13:
- 9781316613450