Galois Groups of Difference Equations of Order Two on Elliptic Curves
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...
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| Datum: | 2015 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут математики НАН України
2015
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| Schriftenreihe: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/146865 |
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| Zitieren: | 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. |
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irk-123456789-1468652019-02-12T01:24:33Z Galois Groups of Difference Equations of Order Two on Elliptic Curves Dreyfus, T. Roques, J. 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 Lamé equations with difference Galois group GL₂(C). 2015 Article 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. 1815-0659 2010 Mathematics Subject Classification: 39A06; 12H10 DOI:10.3842/SIGMA.2015.003 http://dspace.nbuv.gov.ua/handle/123456789/146865 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
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 Lamé equations with difference Galois group GL₂(C). |
| format |
Article |
| author |
Dreyfus, T. Roques, J. |
| spellingShingle |
Dreyfus, T. Roques, J. Galois Groups of Difference Equations of Order Two on Elliptic Curves Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Dreyfus, T. Roques, J. |
| author_sort |
Dreyfus, T. |
| title |
Galois Groups of Difference Equations of Order Two on Elliptic Curves |
| title_short |
Galois Groups of Difference Equations of Order Two on Elliptic Curves |
| title_full |
Galois Groups of Difference Equations of Order Two on Elliptic Curves |
| title_fullStr |
Galois Groups of Difference Equations of Order Two on Elliptic Curves |
| title_full_unstemmed |
Galois Groups of Difference Equations of Order Two on Elliptic Curves |
| title_sort |
galois groups of difference equations of order two on elliptic curves |
| publisher |
Інститут математики НАН України |
| publishDate |
2015 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146865 |
| citation_txt |
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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT dreyfust galoisgroupsofdifferenceequationsofordertwoonellipticcurves AT roquesj galoisgroupsofdifferenceequationsofordertwoonellipticcurves |
| first_indexed |
2025-07-11T00:49:08Z |
| last_indexed |
2025-07-11T00:49:08Z |
| _version_ |
1837309573971574784 |