On the generalized Riemann-Hilbert problem with irregular singularities

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We give sufficient conditions, on data including the monodromy representation, the Stokes matrices and the Poincare ranks at prescribed singularities, to solve the generalized Riemann-Hilbert problem with irregular singularities. We recover in particular the irreducibility condition on the monodromy given by Bolibrukh and Kostov in the classical case. We apply the above criteria to solve the inverse problem in differential Galois theory with a better control of the singularities.

Keywords

Classical Analysis and ODEs, Algebraic Geometry, 34M50; 34M25; 34M35; 34M40; 20G15

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/72968

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0410483
 http://arxiv.org/abs/math/0410483

Collections

arXiv