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Construction of rigid local systems and integral representations of their sections

✍ Scribed by Yoshishige Haraoka; Toshiaki Yokoyama

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
212 KB
Volume
279
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

We give a method for constructing all rigid local systems of semi‐simple type, which is different from the Katz–Dettweiler–Reiter algorithm. Our method follows from the construction of Fuchsian systems of differential equations with monodromy representations corresponding to such local systems, which give an explicit solution of the Riemann–Hilbert problem. Moreover, we show that every section of such local systems has an integral representation. (Β© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

πŸ“œ SIMILAR VOLUMES

Construction of systems of differential
Construction of systems of differential equations of Okubo normal form with rigid monodromy
✍ Toshiaki Yokoyama πŸ“‚ Article πŸ“… 2006 πŸ› John Wiley and Sons 🌐 English βš– 212 KB

## Abstract For systems of differential equations of the form (__xI__ ~__n__~ – __T__ )__dy__ /__dx__ = __Ay__ (systems of Okubo normal form), where __A__ is an __n__ Γ— __n__ constant matrix and __T__ is an __n__ Γ— __n__ constant diagonal matrix, two kinds of operations (extension and restriction)