We prove that the locus of Prym curves (C, η) of genus g≥5 for which the Prymcanonical system |ωC(η)| is base point free but the Prym-canonical map is not an embedding is irreducible and unirational of dimension 2g+1.
On the locus of Prym curves where the Prym canonical map is not an embedding
Ciro Ciliberto;Thomas Dedieu;Concettina Galati
;Andreas Leopold Knutsen
2020-01-01
Abstract
We prove that the locus of Prym curves (C, η) of genus g≥5 for which the Prymcanonical system |ωC(η)| is base point free but the Prym-canonical map is not an embedding is irreducible and unirational of dimension 2g+1.File in questo prodotto:
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