Monodromy of a Class of Logarithmic Connections on an Elliptic Curve

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2007
• Main Author: Machu, Francois-Xavier
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2007
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147230
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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...