Hyperelliptic curves and Hitchin tangential covers
Abstract
In kim11 we have generalized a tangency condition in the Treibich-Verdier theory trei89,tv90,trei97 about elliptic solitons to a Hitchin system. As an application of this generalization, we will define, so-called, Hitchin hyperelliptic tangential covers and show the finiteness of them among all Hitchin tangential covers.
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