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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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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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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