Regular and irregular holonomic D-modules
著者
書誌事項
Regular and irregular holonomic D-modules
（London Mathematical Society lecture note series, 433）
Cambridge University Press, 2016
- : pbk
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注記
Includes bibliographical references (p. 104-106) and index
内容説明・目次
内容説明
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.
目次
- 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.
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