Brill-Noether theory of curves on Enriques surfaces I: the positive cone and gonality

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We study the existence of linear series on curves lying on an Enriques surface and general in their complete linear system. Using a method that works also below the Bogomolov-Reider range, we compute, in all cases, the gonality of such curves. We also give a new result about the positive cone of line bundles on an Enriques surface and we show how this relates to the gonality.
To appear on Math.Z

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Algebraic Geometry, Commutative Algebra, 14H51, 14C20, 14J28

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http://salesiana.dossiersoluciones.com/handle/123456789/157684

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0803.4098
 http://arxiv.org/abs/0803.4098

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arXiv