Dawei Chen : Covers of elliptic curves and the moduli space of curves

Posted by , part of the Algebraic Geometry Seminar.

At

Sept. 26, 2008, 4 p.m.

In

SEO 636

Abstract

Consider genus g curves that admit degree d covers to elliptic curves only branched at one point with a fixed ramification type. The locus of such covers forms a one-dimensional family that naturally maps into the moduli space of genus g curves. We produce a combinatorial method to investigate the geometry of this family. The results can also be applied to study effective divisors on the moduli space.