arXiv Analytics

Sign in

arXiv:1106.2664 [math.CA]AbstractReferencesReviewsResources

Monodromy groups of parameterized linear differential equations with regular singularities

Claude Mitschi, Michael F. Singer

Published 2011-06-14, updated 2012-06-01Version 2

We study the notion of regular singularities for parameterized complex ordinary linear differential systems, prove an analogue of the Schlesinger theorem for systems with regular singularities and solve both a parameterized version of the weak Riemann-Hilbert Problem and a special case of the inverse problem in parameterized Picard-Vessiot theory.

Comments: Version to appear in the Bulletin of the London Mathematical Society
Categories: math.CA
Subjects: 34M03, 12H05, 34M15, 34M35, 34M50
Related articles:
arXiv:1203.2904 [math.CA] (Published 2012-03-13, updated 2014-08-29)
A density theorem for parameterized differential Galois theory
arXiv:math/0502396 [math.CA] (Published 2005-02-18)
Galois Theory of Parameterized Differential Equations and Linear Differential Algebraic Groups
arXiv:2210.14729 [math.CA] (Published 2022-10-26)
Unitary monodromies for rank two Fuchsian systems with $(n+1)$ singularities

Links

Toolbox