Maps between moduli spaces of curves and Gieseker-Petri divisors

Monday, March 10, 2008 -
4:30pm to 6:30pm
We study contractions of the moduli space of stable curves beyond the minimal model of M_g by resolving and giving a complete enumerative description of the rational map between moduli spaces of curves Mg --> Mh which associates to a curve C of genus g, the Brill-Noether locus of special divisors in the case this locus is a curve. As an application we construct myriads of moving effective divisors on M_g of small slope. For low g, our calculation can be used to study the intersection theory of the moduli space of Prym varieties of dimension 5.
Gavril Farkas
Humboldt Universit├Ąt zu Berlin
Event Location: 
Fine Hall 322