Regular and irregular holonomic D-modules /
Kashiwara, Masaki, 1947-
Regular and irregular holonomic D-modules / Regular & Irregular Holonomic D-Modules Masaki Kashiwara, Pierre Schapira. - Cambridge : Cambridge University Press, 2016. - 1 online resource (vi, 111 pages) : digital, PDF file(s). - London Mathematical Society lecture note series ; 433 . - London Mathematical Society lecture note series ; 433. .
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.
9781316675625 (ebook)
D-modules.
Modules (Algebra)
Sheaf theory.
Geometry, Algebraic.
QA247.3 / .K385 2016
514/.23
Regular and irregular holonomic D-modules / Regular & Irregular Holonomic D-Modules Masaki Kashiwara, Pierre Schapira. - Cambridge : Cambridge University Press, 2016. - 1 online resource (vi, 111 pages) : digital, PDF file(s). - London Mathematical Society lecture note series ; 433 . - London Mathematical Society lecture note series ; 433. .
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.
9781316675625 (ebook)
D-modules.
Modules (Algebra)
Sheaf theory.
Geometry, Algebraic.
QA247.3 / .K385 2016
514/.23