Introduction to Stokes Structures (Lecture Notes in Mathematics, Band 2060) - Softcover

Sabbah, Claude

 
9783642316944: Introduction to Stokes Structures (Lecture Notes in Mathematics, Band 2060)
Softcover
ISBN 10: 3642316948 ISBN 13: 9783642316944
Verlag: Springer, 2012

Inhaltsangabe

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.

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Von der hinteren Coverseite

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.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer
Erscheinungsdatum
2012
Sprache
Englisch
ISBN 10 
3642316948
ISBN 13 
9783642316944
Einband
Taschenbuch
Anzahl der Seiten
268
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Deutschland

Weitere beliebte Ausgaben desselben Titels

9783642316968: Introduction to Stokes Structures

Vorgestellte Ausgabe

ISBN 10:  3642316964 ISBN 13:  9783642316968
Verlag: Springer, 2012
Softcover