Hyperelliptic curves and Hitchin tangential covers

Details Hyperelliptic curves and Hitchin tangential covers Hyperelliptic curves and Hitchin tangential covers

2011-08-30

arxiv.org/abs/1108.5796v2

Mathematics

Algebraic Geometry

We corrected typos

Scientific paper

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.

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