Galois Groups of Difference Equations of Order Two on Elliptic Curves

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2015
• Main Authors: Dreyfus, T., Roques, J.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2015
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146865
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Galois Groups of Difference Equations of Order Two on Elliptic Curves / T. Dreyfus, J. Roques // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 35 назв. — англ.

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 trans...