"Let Mg be the coarse moduli space of complex projective nonsingular curves of genus g. We prove that when the Brill-Noether number ρ(g, r, n) is non-negative every component of the Petri locus Pr g,n ⊂ Mg whose general member is a curve C such that Wr+1 n (C) = ø, has codimension one in Mg."
Bruno, A., Sernesi, E. (2011). A note on the Petri loci. MANUSCRIPTA MATHEMATICA, 136(3-4), 439-443 [10.1007/s00229-011-0450-0].
A note on the Petri loci
BRUNO, Andrea;SERNESI, Edoardo
2011-01-01
Abstract
"Let Mg be the coarse moduli space of complex projective nonsingular curves of genus g. We prove that when the Brill-Noether number ρ(g, r, n) is non-negative every component of the Petri locus Pr g,n ⊂ Mg whose general member is a curve C such that Wr+1 n (C) = ø, has codimension one in Mg."File in questo prodotto:
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