Tangency and a ruled surface associated with a Hitchin system

Details Tangency and a ruled surface associated with a Hitchin system Tangency and a ruled surface associated with a Hitchin system

2011-08-26

arxiv.org/abs/1108.5243v2

Mathematics

Algebraic Geometry

We corrected typos and changed some notations

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Tangency and a ruled surface associated with a Hitchin system does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Tangency and a ruled surface associated with a Hitchin system, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Tangency and a ruled surface associated with a Hitchin system will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-501793