Galois theory of fuchsian q-difference equations |
| |
Authors: | Jacques Sauloy |
| |
Institution: | Laboratoire Émile Picard, UMR 5580, Université Paul Sabatier, 118, route de Narbonne, 31062, Toulouse Cedex, France |
| |
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. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|