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arXiv · 2306.01928

New sextics of genus 6 and 10 attaining the Serre bound

Annamaria Iezzi·Motoko Qiu Kawakita·Marco Timpanella
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Abstract

We provide new examples of curves of genus 6 or 10 attaining the Serre bound. They all belong to the family of sextics introduced in [19] as a a generalization of the Wiman sextics [36] and Edge sextics [9]. Our approach is based on a theorem by Kani and Rosen which allows, under certain assumptions, to fully decompose the Jacobian of the curve. With our investigation we are able to update several entries in \url{http://www.manypoints.org} ([35]).

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Annamaria Iezzi, Motoko Qiu Kawakita, Marco Timpanella. 2023-06-02. New sextics of genus 6 and 10 attaining the Serre bound. https://arxiv.org/abs/2306.01928

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