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arXiv · 1310.2168

Higgs bundles over elliptic curves for complex reductive Lie groups

Emilio Franco·Oscar Garcia-Prada·P. E. Newstead
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Abstract

We study Higgs bundles over an elliptic curve with complex reductive structure group, describing the (normalization of) its moduli spaces and the associated Hitchin fibration. The case of trivial degree is covered by the work of Thaddeus in 2001. Our arguments are different from those of Thaddeus and cover arbitrary degree.

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Emilio Franco, Oscar Garcia-Prada, P. E. Newstead. 2013-10-08. Higgs bundles over elliptic curves for complex reductive Lie groups. https://arxiv.org/abs/1310.2168

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