Twists of non-hyperelliptic curves of genus 3

Abstract : In this paper we explicitly compute equations for the twists of all the smooth plane quartic curves defined over a number field k. Since the plane quartic curves are non-hyperelliptic curves of genus 3 we can apply the method developed by the author in a previous article. The starting point is a classification due to Henn of the plane quartic curves with non-trivial automorphism group up to C-isomorphism.
Type de document :
Pré-publication, Document de travail
2016
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https://hal.archives-ouvertes.fr/hal-01619330
Contributeur : Marie-Annick Guillemer <>
Soumis le : jeudi 19 octobre 2017 - 11:51:16
Dernière modification le : vendredi 20 octobre 2017 - 01:05:30

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  • HAL Id : hal-01619330, version 1
  • ARXIV : 1604.02410

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Elisa Lorenzo García. Twists of non-hyperelliptic curves of genus 3. 2016. 〈hal-01619330〉

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