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Hyperelliptic curves and Hitchin tangential covers

2011/08/30 by Taejung Kim, Kim, Taejung
Mathematics · Physics and Astronomy · #14C20 #14H60 #14H70 #14J26 #14Q05 #32L10 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Dynamical Systems (math.DS) #FOS: Mathematics #Nonlinear Waves and Solitons #math.AG #math.DS #msc:14C20 #msc:14H60 #msc:14H70 #msc:14J26 #msc:14Q05 #msc:32L10

paper · pdf · doi:10.48550/arxiv.1108.5796

We corrected typos

openalex publication_date 2011/08/30 · arxiv created 2011/10/11 · arxiv updated 2011/10/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In \citekim11 we have generalized a tangency condition in the Treibich-Verdier theory \citetrei89,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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