Regular and Irregular Holonomic D-Modules (London Mathematical Society Lecture Note Series)
Masaki Kashiwara, Pierre Schapira
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.
Kategorien:
Jahr:
2016
Auflage:
1
Verlag:
Cambridge University Press
Sprache:
english
Seiten:
117
ISBN 10:
1316613453
ISBN 13:
9781316613450
Serien:
London Mathematical Society Lecture Note Series (Book 433)
Datei:
PDF, 853 KB
IPFS:
,
english, 2016