Galois theory of fuchsian $q$-difference equations

By J. Sauloy. 2002

105 citations recorded by the source corpus.

Abstract We propose an analytical approach to the Galois theory of singular regular linear q -difference systems. We use Tannaka duality along with Birkhoff's classification scheme with the connection matrix to define and describe their Galois groups. Then we describe fundamental subgroups that give rise to a Riemann–Hilbert correspondence and to a density theorem of Schlesinger's type.

Subfields: Geometry and Topology, Spectroscopy, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/e0621b26562954b685eeb72cfa77555d0b071e34

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In Geometry and Topology

1. J. Ramis
2. Changgui Zhang

In Spectroscopy

1. J. Ramis
2. Changgui Zhang

In Statistical and Nonlinear Physics

1. J. Ramis
2. Changgui Zhang
3. J. Sauloy

Citations in the corpus

• Local Analytic Classification of Q-Difference Equations (2009, methodology): “In the global regular singular case only the abelian case is understood [49], using the geometric class field theory.”