Birational equivalence of Higgs moduli
Algebraic Geometry
2007-05-23 v2
Abstract
In this paper, we study triples of the form (E, theta, phi) over a compact Riemann Surface, where (E, theta) is a Higgs bundle and phi is a global holomorphic section of the Higgs bundle. Our main result is a description of a birational equivalence which relates geometrically the moduli space of Higgs bundles of rank r and degree d to the moduli space of Higgs bundles of rank (r-1) and degree d.
Cite
@article{arxiv.math/0311122,
title = {Birational equivalence of Higgs moduli},
author = {Mridul Mehta},
journal= {arXiv preprint arXiv:math/0311122},
year = {2007}
}
Comments
20 pages, same as before, with a correction in the references