Rational correspondences between moduli spaces of curves defined by Hurwitz spaces
Algebraic Geometry
2011-05-13 v1
Abstract
By associating to a curve C of genus g=2k and a pencil of degree d=k+1 the so-called trace curve (resp. the reduced trace curve) we define a rational map from the Hurwitz space of admissible covers of genus g=2k and degree d=k+1 to a moduli space of stable curves. We study the induced map between the divisor class groups of these moduli spaces of curves.
Keywords
Cite
@article{arxiv.1105.2383,
title = {Rational correspondences between moduli spaces of curves defined by Hurwitz spaces},
author = {Gerard van der Geer and Alexis Kouvidakis},
journal= {arXiv preprint arXiv:1105.2383},
year = {2011}
}
Comments
25 pages, latex