Algebraic Geometry Seminar
Dawei Chen
UIC
Covers of elliptic curves and the moduli space of curves
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.
Friday September 26, 2008 at 4:00 PM in SEO 636