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|a 1087283445
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|a UAMI
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|a Kashiwara, Masaki,
|d 1947-
|e author.
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1 |
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|a Regular and irregular holonomic D-modules /
|c Masaki Kashiwara, RIMS, Kyoto University, Japan, Pierre Schapira, University Pierre et Marie Curie, Paris.
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|a Cambridge :
|b Cambridge University Press,
|c 2016.
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|c ©2016
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|a 1 online resource (vi, 111 pages)
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|a London Mathematical Society lecture note series ;
|v 433
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|a Includes bibliographical references and index.
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|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.
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|a Print version record.
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|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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|a D-modules.
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|a Modules (Algebra)
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|a Sheaf theory.
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|a Geometry, Algebraic.
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650 |
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6 |
|a D-modules.
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650 |
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|a Modules (Algèbre)
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700 |
1 |
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|a Schapira, Pierre,
|d 1943-
|e author.
|
776 |
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|i Print version:
|a Kashiwara, Masaki, 1947-
|t Regular and irregular holonomic D-modules.
|d Cambridge, United Kingdom : Cambridge University Press, 2016
|z 9781316613450
|w (DLC) 2016011164
|w (OCoLC)936410919
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830 |
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0 |
|a London Mathematical Society lecture note series ;
|v 433.
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