Introduction to Stokes Structures [electronic resource] / by Claude Sabbah.
Tipo de material: TextoSeries Lecture Notes in Mathematics ; 2060 | Lecture Notes in Mathematics ; 2060Editor: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013Descripción: XIV, 249 p. 14 illus., 1 illus. in color. online resourceTipo de contenido:- text
- computer
- online resource
- 9783642316951
- SpringerLink (Online service)
- 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
- 516.35 23
- QA564-609
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.
ZDB-2-SMA
ZDB-2-LNM
No hay comentarios en este titulo.