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...

Ausführliche Beschreibung

Bibliographische Detailangaben

1. Verfasser:	Kashiwara, Masaki 1947- (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	Cambridge Cambridge University Press 2016
Schriftenreihe:	London Mathematical Society lecture note series 433
Schlagworte:	D-modules Modules (Algebra) Sheaf theory Geometry, Algebraic D-Modul
Online-Zugang:	BSB01 FHN01 Volltext
Zusammenfassung:	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
Beschreibung:	Title from publisher's bibliographic system (viewed on 05 May 2016)
Beschreibung:	1 online resource (vi, 111 pages)
ISBN:	9781316675625
DOI:	10.1017/CBO9781316675625