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Book synopsis

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.

Book details

Book category Books in English Mathematics & science Mathematics Calculus & mathematical analysis

• Full title: Regular and Irregular Holonomic D-Modules
• Author: Masaki Kashiwara
• Language: English
• Binding: Paperback
• Number of pages: 117
• EAN: 9781316613450
• ISBN: 1316613453
• ID: 02923661
• Publisher: Cambridge University Press
• Weight: 192 g
• Dimensions: 153 × 228 × 10 mm
• Date of publishing: 26. May 2016

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