Tangency and a ruled surface associated with a Hitchin system
Algebraic Geometry
2011-10-12 v2 Dynamical Systems
Abstract
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 tangency condition associated with elliptic solitons to a Hitchin system. In particular, we will calculate the dimension of the moduli space of Hitchin covers satisfying the tangency condition. With this new point of view, we will see a subtle relation between the characterizations of coverings and the singularities of divisors in a particular algebraic surface.
Cite
@article{arxiv.1108.5243,
title = {Tangency and a ruled surface associated with a Hitchin system},
author = {Taejung Kim},
journal= {arXiv preprint arXiv:1108.5243},
year = {2011}
}
Comments
We corrected typos and changed some notations