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Regular and irregular holonomic D-modules /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Regular and irregular holonomic D-modules // Masaki Kashiwara, Pierre Schapira.
remainder title:	Regular & Irregular Holonomic D-Modules
Author:	Kashiwara, Masaki,
other author:	Schapira, Pierre,
Description:	1 online resource (vi, 111 pages) :digital, PDF file(s). :
Notes:	Title from publisher's bibliographic system (viewed on 05 May 2016).
Subject:	D-modules. -
Online resource:	https://doi.org/10.1017/CBO9781316675625
ISBN:	9781316675625 (ebook)

Regular and irregular holonomic D-modules /
Kashiwara, Masaki,1947-

Regular and irregular holonomic D-modules /Regular & Irregular Holonomic D-ModulesMasaki Kashiwara, Pierre Schapira. - 1 online resource (vi, 111 pages) :digital, PDF file(s). - London Mathematical Society lecture note series ;433. - London Mathematical Society lecture note series ;382..

Title from publisher's bibliographic system (viewed on 05 May 2016).

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: 9781316675625 (ebook)Subjects--Topical Terms:

677350
D-modules.

LC Class. No.: QA247.3 / .K385 2016

Dewey Class. No.: 514/.23

Regular and irregular holonomic D-modules /
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500 $a Title from publisher's bibliographic system (viewed on 05 May 2016).
520 $a 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.
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