| dc.contributor.author | Etingof, Pavel I. | |
| dc.contributor.author | Rains, Eric | |
| dc.date.accessioned | 2012-06-21T19:16:47Z | |
| dc.date.available | 2012-06-21T19:16:47Z | |
| dc.date.issued | 2011-07 | |
| dc.date.submitted | 2011-04 | |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.uri | http://hdl.handle.net/1721.1/71197 | |
| dc.description | Contribution to the Special Issue “Relationship of Orthogonal Polynomials and Special Functions with Quantum Groups and Integrable Systems” | en_US |
| dc.description.abstract | 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). | en_US |
| dc.description.sponsorship | National Science Foundation (U.S.) (NSF grants DMS-0504847) | en_US |
| dc.description.sponsorship | National Science Foundation (U.S.) (NSF grant DMS-0854764) | en_US |
| dc.description.sponsorship | National Science Foundation (U.S.) (NSF grant DMS-1001645) | en_US |
| dc.language.iso | en_US | |
| dc.publisher | National Academy of Sciences of Ukraine | en_US |
| dc.relation.isversionof | http://dx.doi.org/10.3842/sigma.2011.062 | en_US |
| dc.rights | Creative Commons Attribution-Noncommercial-Share Alike 3.0 | en_US |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/3.0/ | en_US |
| dc.source | arXiv | en_US |
| dc.title | On Algebraically Integrable Differential Operators on an Elliptic Curve | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Etingof, Pavel. “On Algebraically Integrable Differential Operators on an Elliptic Curve.” Symmetry, Integrability and Geometry: Methods and Applications, SIGMA 7 (2011), 062, 19 pages. Web. | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.contributor.approver | Etingof, Pavel I. | |
| dc.contributor.mitauthor | Etingof, Pavel I. | |
| dc.relation.journal | Symmetry, Integrability and Geometry, Methods and Applications | en_US |
| dc.eprint.version | Final published version | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
| dspace.orderedauthors | Etingof, Pavel | en |
| dc.identifier.orcid | https://orcid.org/0000-0002-0710-1416 | |
| mit.license | PUBLISHER_CC | en_US |
| mit.metadata.status | Complete | |
