The Gieseker-Petri divisor in M_g for genus g<=13

Abstract

The Gieseker-Petri locus GP_g is defined as the locus inside M_g consisting of curves which violate the Gieseker-Petri Theorem. It is known that GP_g has always some divisorial components and it has been conjectured that it is of pure codimension 1 inside M_g. We prove that this holds true for genus up to 13.

16 pages

References in corpus (1)

• A note on the Petri loci

Cited by in corpus (1)

• Effective divisors on moduli spaces of curves and abelian varieties