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Special divisors on curves on K3 surfaces carrying an Enriques involution

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Abstract

We study the pencils of minimal degree on the smooth curves lying on a K3 surface X which carries a fixed-point free involution. Generically, the gonality of these curves is totally governed by the genus 1 fibrations of X.

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  1. Laboratoire de Mathématiques et Applications, Université de Poitiers, 86962, Poitiers, France

    Marco Ramponi

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  1. Marco Ramponi
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Correspondence to Marco Ramponi.

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Ramponi, M. Special divisors on curves on K3 surfaces carrying an Enriques involution. manuscripta math. 153, 315–322 (2017). https://doi.org/10.1007/s00229-016-0888-1

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  • DOI: https://doi.org/10.1007/s00229-016-0888-1

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