TY - BOOK
AU - Sabbah, Claude.
ED - SpringerLink (Online service)
TI - Introduction to Stokes Structures
T2 - Lecture Notes in Mathematics,
SN - 9783642316
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 -