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978-3-642-31695-1
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9783642316951
978-3-642-31695-1
10.1007/978-3-642-31695-1
doi
QA564-609
PBMW
bicssc
MAT012010
bisacsh
516.35
23
Sabbah, Claude.
author.
Introduction to Stokes Structures
[electronic resource] /
by Claude Sabbah.
Berlin, Heidelberg :
Springer Berlin Heidelberg :
Imprint: Springer,
2013.
XIV, 249 p. 14 illus., 1 illus. in color.
online resource.
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Lecture Notes in Mathematics,
0075-8434 ;
2060
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.
Mathematics.
Geometry, algebraic.
Differential Equations.
Differential equations, partial.
Sequences (Mathematics).
Mathematics.
Algebraic Geometry.
Ordinary Differential Equations.
Approximations and Expansions.
Sequences, Series, Summability.
Several Complex Variables and Analytic Spaces.
Partial Differential Equations.
SpringerLink (Online service)
Springer eBooks
Printed edition:
9783642316944
Lecture Notes in Mathematics,
0075-8434 ;
2060
http://dx.doi.org/10.1007/978-3-642-31695-1
ZDB-2-SMA
ZDB-2-LNM
Mathematics and Statistics (Springer-11649)
6969
6969
0
0
0
0
18532
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