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