Monodromy of a Class of Logarithmic Connections on an Elliptic Curve
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Monodromy of a Class of Logarithmic Connections on an Elliptic Curve
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| Creator |
Machu, Francois-Xavier
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| Description |
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.
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| Date |
2019-02-13T19:33:37Z
2019-02-13T19:33:37Z 2007 |
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| Type |
Article
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| Identifier |
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.
1815-0659 2000 Mathematics Subject Classification: 14D21; 14H52; 14H60; 32S40 http://dspace.nbuv.gov.ua/handle/123456789/147230 |
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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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