On Algebraically Integrable Differential Operators on an Elliptic Curve
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On Algebraically Integrable Differential Operators on an Elliptic Curve
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| Creator |
Etingof, P.
Rains, E. |
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| Description |
We study differential operators on an elliptic curve of order higher than 2 which are algebraically integrable (i.e., finite gap). We discuss classification of such operators of order 3 with one pole, discovering exotic operators on special elliptic curves defined over Q which do not deform to generic elliptic curves. We also study algebraically integrable operators of higher order with several poles and with symmetries, and (conjecturally) relate them to crystallographic elliptic Calogero-Moser systems (which is a generalization of the results of Airault, McKean, and Moser).
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| Date |
2019-02-13T18:07:21Z
2019-02-13T18:07:21Z 2011 |
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| Type |
Article
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| Identifier |
On Algebraically Integrable Differential Operators on an Elliptic Curve / P. Etingof, E. Rains // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 19 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 35J35; 70H06 DOI:10.3842/SIGMA.2011.062 http://dspace.nbuv.gov.ua/handle/123456789/147170 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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