Galois Groups of Difference Equations of Order Two on Elliptic Curves

被引：4

作者：

Dreyfus, Thomas ^{[1
]}

Roques, Julien ^{[2
]}

机构：

[1] Univ Toulouse 3, Inst Math Toulouse, F-31062 Toulouse, France

[2] Univ Grenoble 1, CNRS, Inst Fournier, UMR 5582, F-38402 St Martin Dheres, France

来源：

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2015年 / 11卷

关键词：

linear difference equations; difference Galois theory; elliptic curves; Q-ANALOG; ALGORITHM;

D O I：

10.3842/SIGMA.2015.003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with difference equations on elliptic curves. We establish some general properties of the difference Galois groups of equations of order two, and give applications to the calculation of some difference Galois groups. For instance, our results combined with a result from transcendence theory due to Schneider allow us to identify a large class of discrete Lame equations with difference Galois group GL(2) (C).

引用

页数：23

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