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- W4299914229 abstract "We prove that the gonality among the smooth curves in a complete linear system on a $K3$ surface is constant except for the Donagi-Morrison example. This was proved by Ciliberto and Pareschi under the additional condition that the linear system is ample. As a consequence we prove that exceptional curves on $K3$ surfaces satisfy the Eisenbud-Lange-Martens-Schreyer conjecture and explicitly describe such curves. They turn out to be natural extensions of the Eisenbud-Lange-Martens-Schreyer examples of exceptional curves on $K3$ surfaces." @default.
- W4299914229 created "2022-10-03" @default.
- W4299914229 creator A5010000077 @default.
- W4299914229 date "2007-05-02" @default.
- W4299914229 modified "2023-09-30" @default.
- W4299914229 title "On two conjectures for curves on $K3$ surfaces" @default.
- W4299914229 doi "https://doi.org/10.48550/arxiv.0705.0302" @default.
- W4299914229 hasPublicationYear "2007" @default.
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