Regular and Irregular Holonomic D-Modules - Brossura

Kashiwara, Masaki

Brossura

ISBN 10: 1316613453 ISBN 13: 9781316613450

Casa editrice: Cambridge University Press, 2016

Riassunto

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.

Su questo libro

Descrizione del libro

The theory of D-modules applies to many areas, including linear PDEs, group representation, algebraic geometry and mathematical physics. This book is the first devoted specifically to the most important variety, holonomic D-modules. It provides a complete unified treatment of the theory of holonomic D-modules, both regular and irregular.

L'autore

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.

Su questa edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 2016
• ISBN 10: 1316613453
• ISBN 13: 9781316613450
• Rilegatura: Copertina flessibile
• Numero di pagine: 118