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math.AG2011★ 1 cited
Hyperelliptic curves and Hitchin tangential covers
Taejung Kim
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…
math.AG2011
Abel-Jacobi map under Schiffer variation
Taejung Kim
We characterize how to vary the Abel-Jacobi map in terms of Schiffer variation. From this characterization, we will interpret the relation of hyperellipticity of curves with Schiff…
math.AG2011
Tangency and a ruled surface associated with a Hitchin system
Taejung Kim
We will generalize the Treibich-Verdier theory about elliptic solitons to a Hitchin system by constructing a particular ruled surface and we will propose a generalization of a tang…