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arXiv · 0708.2186

Monodromy of a Class of Logarithmic Connections on an Elliptic Curve

Francois-Xavier Machu
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Abstract

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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BibTeXRIS

Francois-Xavier Machu. 2007-08-16. Monodromy of a Class of Logarithmic Connections on an Elliptic Curve. https://doi.org/10.3842/sigma.2007.082

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