TY  - BOOK
AU  - Sabbah,Claude
ED  - SpringerLink (Online service)
TI  - Introduction to Stokes Structures
T2  - Lecture Notes in Mathematics,
SN  - 9783642316951
AV  - QA564-609 
U1  - 516.35 23
PY  - 2013///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg, Imprint: Springer
KW  - Mathematics
KW  - Geometry, algebraic
KW  - Differential Equations
KW  - Differential equations, partial
KW  - Sequences (Mathematics)
KW  - Algebraic Geometry
KW  - Ordinary Differential Equations
KW  - Approximations and Expansions
KW  - Sequences, Series, Summability
KW  - Several Complex Variables and Analytic Spaces
KW  - Partial Differential Equations
N2  - 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
UR  - http://dx.doi.org/10.1007/978-3-642-31695-1
ER  -