Hyperelliptic curves and Hitchin tangential covers

Abstract

In \cite{kim11} we have generalized a tangency condition in the Treibich-Verdier theory \cite{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.

arXiv commentWe corrected typos

Cited by in corpus (1)

• Tangency and a ruled surface associated with a Hitchin system