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Monodromy of a Class of Logarithmic Connections on an Elliptic Curve
Репозиторій DSpace/Manakin
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2007, том 3
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Monodromy of a Class of Logarithmic Connections on an Elliptic Curve
Інший ID:
2000 Mathematics Subject Classification: 14D21; 14H52; 14H60; 32S40
Посилання:
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.
Підтримка:
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.
Дата:
2007
Переглядів:
358
Завантажень:
223
Анотація:
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.
