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math.AG2005

Singular curves on a K3 surface and linear series on their normalizations

Flaminio Flamini, Andreas Leopold Knutsen, Gianluca Pacienza

In this paper, we study the Brill-Noether theory of the normalizations of singular, irreducible curves on a surface. We introduce a {\em singular} Brill-Noether number $ρ_{sin…