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A note on the Petri loci
Published 3 Dec 2010 in math.AG | (1012.0856v3)
Abstract: Let $\M_g$ be the course moduli space of complex projective nonsingular curves of genus $g$. We prove that when the Brill-Noether number $\rho(g,r,n)$ is non-negative every component of the Petri locus $Pr_{g,n}\subset \M_g$ whose general member is a curve $C$ such that $W{r+1}_n(C) = \emptyset$, has codimension one in $\M_g$.
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