Download PDF, EPUB, Kindle Regular and Irregular Holonomic D-Modules

Download PDF, EPUB, Kindle Regular and Irregular Holonomic D-Modules

Regular and Irregular Holonomic D-Modules by Masaki Kashiwara

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Author: Masaki Kashiwara
Number of Pages: 117 pages
Published Date: 15 Aug 2016
Publisher: CAMBRIDGE UNIVERSITY PRESS
Publication Country: Cambridge, United Kingdom
Language: English
ISBN: 9781316613450
File Name: Regular.and.Irregular.Holonomic.D-Modules.pdf
Download Link: Regular and Irregular Holonomic D-Modules
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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.

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