Birational equivalence of Higgs moduli

Details Birational equivalence of Higgs moduli Birational equivalence of Higgs moduli

2003-11-07

arxiv.org/abs/math/0311122v2

Mathematics

Algebraic Geometry

20 pages, same as before, with a correction in the references

Scientific paper

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.

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