Kashiwara, Masaki,  1947- <br/><br/>
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. .
<br/><br/> Title from publisher's bibliographic system (viewed on 05 May 2016). 
<br/><br/> 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. 
<br/><br/><label>ISBN: </label>9781316675625 (ebook) 
<br/><br/><label>Subjects--Topical Terms: </label><br/>D-modules.<br/>Modules (Algebra)<br/>Sheaf theory.<br/>Geometry, Algebraic.
<br/><br/><label>LC Class. No.: </label>QA247.3  / .K385 2016 
<br/><br/><label>Dewey Class. No.: </label>514/.23