TY  - BOOK
AU  - Kashiwara,Masaki
AU  - Schapira,Pierre
TI  - Regular and irregular holonomic D-modules
T2  - London Mathematical Society lecture note series
SN  - 9781316675625 (ebook)
AV  - QA247.3 .K385 2016
U1  - 514/.23 23
PY  - 2016///
CY  - Cambridge
PB  - Cambridge University Press
KW  - D-modules
KW  - Modules (Algebra)
KW  - Sheaf theory
KW  - Geometry, Algebraic
N1  - Title from publisher's bibliographic system (viewed on 05 May 2016)
N2  - 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
UR  - https://doi.org/10.1017/CBO9781316675625
ER  -