Introduction to Stokes Structures

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...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Sabbah, Claude (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
Edición:1st ed. 2013.
Colección:Lecture Notes in Mathematics, 2060
Temas:
Algebraic geometry.
Differential equations.
Approximation theory.
Sequences (Mathematics).
Functions of complex variables.
Algebraic Geometry.
Differential Equations.
Approximations and Expansions.
Sequences, Series, Summability.
Several Complex Variables and Analytic Spaces.
Acceso en línea:Texto Completo
Descripción
Sumario: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.
Descripción Física:XIV, 249 p. 14 illus., 1 illus. in color. online resource.
ISBN:9783642316951
ISSN:1617-9692 ;

Ejemplares similares