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.
Lopez, A., Knutsen, A.L. (2009). Brill-Noether theory of curves on Enriques surfaces I: the positive cone and gonality. MATHEMATISCHE ZEITSCHRIFT, 261, 659-690.
Brill-Noether theory of curves on Enriques surfaces I: the positive cone and gonality
LOPEZ, Angelo;
2009-01-01
Abstract
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.File in questo prodotto:
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