The Gieseker-Petri divisor in M_g for genus g<=13
classification
🧮 math.AG
keywords
gieseker-petrigenusinsidelocusalwaysbeencodimensioncomponents
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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.
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