Regular and irregular holonomic D-modules:

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 theor...

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Bibliographic Details
Main Author: Kashiwara, Masaki 1947- (Author)
Format: Electronic eBook
Language:English
Published: Cambridge Cambridge University Press 2016
Series:London Mathematical Society lecture note series 433
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Online Access:BSB01
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Summary: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
Item Description:Title from publisher's bibliographic system (viewed on 05 May 2016)
Physical Description:1 online resource (vi, 111 pages)
ISBN:9781316675625
DOI:10.1017/CBO9781316675625

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