Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
Monodromy of a Class of Logarithmic Connections on an Elliptic Curve
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- Symmetry, Integrability and Geometry: Methods and Applications, 2007, том 3
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| dc.contributor.author | Machu, Francois-Xavier | |
| dc.date.accessioned | 2019-02-13T19:33:37Z | |
| dc.date.available | 2019-02-13T19:33:37Z | |
| dc.date.issued | 2007 | |
| dc.identifier.citation | Monodromy of a Class of Logarithmic Connections on an Elliptic Curve / Francois-Xavier Machu // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 19 назв. — англ. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2000 Mathematics Subject Classification: 14D21; 14H52; 14H60; 32S40 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/147230 | |
| dc.description.abstract | The logarithmic connections studied in the paper are direct images of regular connections on line bundles over genus-2 double covers of the elliptic curve. We give an explicit parametrization of all such connections, determine their monodromy, differential Galois group and the underlying rank-2 vector bundle. The latter is described in terms of elementary transforms. The question of its (semi)-stability is addressed. | uk_UA |
| dc.description.sponsorship | I am greatly indebted to my research advisor D. Markushevich for his encouragement and help. I would like to thank D. Korotkin for explaining me some points. I also acknowledge with pleasure the hospitality of the Mathematics Institute of the Chinese Academy of Sciences, where was done a part of the work on the article. The work was partially supported by the Conseil Departemental du Nord. | 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 | Monodromy of a Class of Logarithmic Connections on an Elliptic Curve | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
