Rational maps between moduli spaces of curves and Gieseker-Petri divisors - Mathematics > Algebraic GeometryReportar como inadecuado




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Abstract: We perform an intersection theoretic study of the rational map between twodifferent moduli spaces of stable curves which associates to a curve itscorresponding Brill-Noether locus in the case this locus has virtual dimension1. We then use these results to describe the cone of moving divisors on M g.Several other applications to moduli spaces of Prym varieties are presented. Ina different direction, we prove that the locus in M g of curves failing tosatisfy the Gieseker-Petri theorem is supported in codimension 1 for everypossible type of linear series.



Autor: Gavril Farkas

Fuente: https://arxiv.org/







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