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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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Kashiwara, Masaki, 1947- (Autor), Schapira, Pierre, 1943- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge : Cambridge University Press, 2016.
Colección:London Mathematical Society lecture note series ; 433.
Temas:
Acceso en línea:Texto completo

MARC

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245 1 0 |a Regular and irregular holonomic D-modules /  |c Masaki Kashiwara, RIMS, Kyoto University, Japan, Pierre Schapira, University Pierre et Marie Curie, Paris. 
264 1 |a Cambridge :  |b Cambridge University Press,  |c 2016. 
264 4 |c ©2016 
300 |a 1 online resource (vi, 111 pages) 
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490 1 |a London Mathematical Society lecture note series ;  |v 433 
504 |a Includes bibliographical references and index. 
505 0 |a A review on sheaves and D-modules -- Indsheaves -- Tempered solutions of D-modules -- Indsheaves on bordered spaces -- Enhances indsheaves -- Holonomic D-modules -- Integral transforms. 
588 0 |a Print version record. 
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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650 6 |a Modules (Algèbre) 
650 6 |a Théorie des faisceaux. 
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700 1 |a Schapira, Pierre,  |d 1943-  |e author. 
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