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Regular and Irregular Holonomic D-Modules

Masaki Kashiwara author Pierre Schapira author

Format:Paperback

Publisher:Cambridge University Press

Published:26th May '16

Currently unavailable, and unfortunately no date known when it will be back

Regular and Irregular Holonomic D-Modules cover

A unified treatment of the Riemann–Hilbert correspondence for (not necessarily regular) holonomic D-modules using indsheaves.

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.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.

ISBN: 9781316613450

Dimensions: 227mm x 151mm x 7mm

Weight: 190g

117 pages