| Description |
1 online resource (vi, 111 pages). |
| Physical Medium |
polychrome |
| Description |
text file |
| Series |
London Mathematical Society lecture note series ; 433
|
|
London Mathematical Society lecture note series ; 433.
|
| Bibliography |
Includes bibliographical references and index. |
| Contents |
A review on sheaves and D-modules -- Indsheaves -- Tempered solutions of D-modules -- Indsheaves on bordered spaces -- Enhances indsheaves -- Holonomic D-modules -- Integral transforms. |
| Summary |
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. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
D-modules.
|
|
D-modules. |
|
Modules (Algebra)
|
|
Modules (Algebra) |
|
Sheaf theory.
|
|
Geometry, Algebraic.
|
|
Sheaf theory. |
|
Geometry, Algebraic. |
|
MATHEMATICS -- Topology. |
| Added Author |
Schapira, Pierre, 1943- author.
|
| Other Form: |
Print version: Kashiwara, Masaki, 1947- Regular and irregular holonomic D-modules. Cambridge, United Kingdom : Cambridge University Press, 2016 9781316613450 (DLC) 2016011164 (OCoLC)936410919 |
| ISBN |
9781316675625 (electronic book) |
|
1316675629 (electronic book) |
|
9781316686669 (electronic book) |
|
1316686663 (electronic book) |
|
9781316613450 (paperback ; alkaline paper) |
|
1316613453 (paperback ; alkaline paper) |
|
