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Brill–Noether theory of curves on Enriques surfaces II: the Clifford index

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Abstract

We complete our study of linear series on curves lying on an Enriques surface by showing that, with the exception of smooth plane quintics, there are no exceptional curves on Enriques surfaces, that is, curves for which the Clifford index is not computed by a pencil.

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Correspondence to Angelo Felice Lopez.

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Andreas Leopold Knutsen: Research partially supported by a Marie Curie Intra-European Fellowship within the 6th European Community Framework Programme.

Angelo Felice Lopez: Research partially supported by the MIUR National Project “Geometria delle varietà algebriche e dei loro spazi di moduli”.

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Knutsen, A.L., Lopez, A.F. Brill–Noether theory of curves on Enriques surfaces II: the Clifford index. manuscripta math. 147, 193–237 (2015). https://doi.org/10.1007/s00229-014-0720-8

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