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.
Speaker: 
Gavril Farkas
Humboldt Universit├Ąt zu Berlin
Event Location: 
Fine Hall 322