Introduction to Stokes Structures - Couverture souple

Sabbah, Claude

 
9783642316944: Introduction to Stokes Structures
Couverture souple
ISBN 10 : 3642316948 ISBN 13 : 9783642316944
Editeur : Springer, 2012

Synopsis

This research monograph provides a geometric description of holonomic differential systems in one or more variables. Stokes matrices form the extended monodromy data for a linear differential equation of one complex variable near an irregular singular point. The present volume presents the approach in terms of Stokes filtrations. For linear differential equations on a Riemann surface, it also develops the related notion of a Stokes-perverse sheaf. This point of view is generalized to holonomic systems of linear differential equations in the complex domain, and a general Riemann-Hilbert correspondence is proved for vector bundles with meromorphic connections on a complex manifold. Applications to the distributions solutions to such systems are also discussed, and various operations on Stokes-filtered local systems are analyzed.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

This research monograph provides a geometric description of holonomic differential systems in one or more variables. Stokes matrices form the extended monodromy data for a linear differential equation of one complex variable near an irregular singular point. The present volume presents the approach in terms of Stokes filtrations. For linear differential equations on a Riemann surface, it also develops the related notion of a Stokes-perverse sheaf. This point of view is generalized to holonomic systems of linear differential equations in the complex domain, and a general Riemann-Hilbert correspondence is proved for vector bundles with meromorphic connections on a complex manifold. Applications to the distributions solutions to such systems are also discussed, and various operations on Stokes-filtered local systems are analyzed.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer
Date d'édition
2012
Langue
anglais
ISBN 10 
3642316948
ISBN 13 
9783642316944
Reliure
Broché
Nombre de pages
268
Coordonnées du fabricant
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Europaplatz 3
Heidelberg
69115
Allemagne

Autres éditions populaires du même titre

9783642316968: Introduction to Stokes Structures

Edition présentée

ISBN 10 :  3642316964 ISBN 13 :  9783642316968
Editeur : Springer, 2012
Couverture souple