Regular and Irregular Holonomic D-Modules

Par : Masaki Kashiwara, Pierre Schapira
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  • Nombre de pages111
  • PrésentationBroché
  • FormatGrand Format
  • Poids0.191 kg
  • Dimensions15,2 cm × 23,0 cm × 0,7 cm
  • ISBN978-1-316-61345-0
  • EAN9781316613450
  • Date de parution28/07/2016
  • CollectionLondon Mathematical Society Le
  • ÉditeurCambridge University Press

Résumé

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.
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.