The monodromy group of a function on a general curve
Algebraic Geometry
2007-05-23 v1
Abstract
Let C_g be a general curve of genus g>3. Guralnick and others proved that the monodromy group of a cover C_g-> P^1 of degree n is either S_n or A_n. We show that A_n occurs for n>2g. The corresponding result for S_n is classical.
Cite
@article{arxiv.math/0304130,
title = {The monodromy group of a function on a general curve},
author = {Kay Magaard and Helmut Voelklein},
journal= {arXiv preprint arXiv:math/0304130},
year = {2007}
}