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Monodromy of a Class of Logarithmic Connections on an Elliptic Curve
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 vect...
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Інститут математики НАН України
2007
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/147230 |
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irk-123456789-1472302019-02-14T01:23:37Z Monodromy of a Class of Logarithmic Connections on an Elliptic Curve Machu, Francois-Xavier 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. 2007 Article 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 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Machu, Francois-Xavier |
| spellingShingle |
Machu, Francois-Xavier Monodromy of a Class of Logarithmic Connections on an Elliptic Curve Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Machu, Francois-Xavier |
| author_sort |
Machu, Francois-Xavier |
| title |
Monodromy of a Class of Logarithmic Connections on an Elliptic Curve |
| title_short |
Monodromy of a Class of Logarithmic Connections on an Elliptic Curve |
| title_full |
Monodromy of a Class of Logarithmic Connections on an Elliptic Curve |
| title_fullStr |
Monodromy of a Class of Logarithmic Connections on an Elliptic Curve |
| title_full_unstemmed |
Monodromy of a Class of Logarithmic Connections on an Elliptic Curve |
| title_sort |
monodromy of a class of logarithmic connections on an elliptic curve |
| publisher |
Інститут математики НАН України |
| publishDate |
2007 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147230 |
| citation_txt |
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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT machufrancoisxavier monodromyofaclassoflogarithmicconnectionsonanellipticcurve |
| first_indexed |
2023-05-20T17:27:01Z |
| last_indexed |
2023-05-20T17:27:01Z |
| _version_ |
1796153325426573312 |