Alternating groups and rational functions on surfaces
Algebraic Geometry
2007-05-23 v2
Abstract
Let X be a smooth complex projective surface. We prove that for any sufficiently big m there exists a rational dominant map f from X into a complex rational ruled surface Y, such that f is generically finite of degree m and has monodromy the alternating group Am.
Cite
@article{arxiv.math/0401107,
title = {Alternating groups and rational functions on surfaces},
author = {Sonia Brivio and Gian Pietro Pirola},
journal= {arXiv preprint arXiv:math/0401107},
year = {2007}
}
Comments
17 pages