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Galois Groups of Difference Equations of Order Two on Elliptic Curves
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11
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| dc.contributor.author | Dreyfus, T. | |
| dc.contributor.author | Roques, J. | |
| dc.date.accessioned | 2019-02-11T18:08:38Z | |
| dc.date.available | 2019-02-11T18:08:38Z | |
| dc.date.issued | 2015 | |
| dc.identifier.citation | 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. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 39A06; 12H10 | |
| dc.identifier.other | DOI:10.3842/SIGMA.2015.003 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/146865 | |
| dc.description.abstract | 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). | uk_UA |
| dc.description.sponsorship | This paper is a contribution to the Special Issue on Algebraic Methods in Dynamical Systems. The full collection is available at http://www.emis.de/journals/SIGMA/AMDS2014.html. Our original interest in dif ference equations on elliptic curves arose from discussions with JeanPierre Ramis some years ago. We thank Jean-Pierre Ramis and Michael Singer for interesting discussions. We thank the referees for their careful reading and useful suggestions. The first author is founded by the labex CIMI. The second author is partially funded by the French ANR project QDIFF (ANR-2010-JCJC-010501). | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | Galois Groups of Difference Equations of Order Two on Elliptic Curves | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
