Monodromy of a Class of Logarithmic Connections on an Elliptic Curve

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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Bibliographic Details
Main Author: Francois-Xavier Machu
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2007-08-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
elliptic curve
ramified covering
logarithmic connection
bielliptic curve
genus-2 curve
monodromy
Riemann-Hilbert problem
differential Galois group
elementary transformation
stable bundle
vector bundle
Online Access:http://www.emis.de/journals/SIGMA/2007/082/

Internet

http://www.emis.de/journals/SIGMA/2007/082/

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