New sextics of genus 6 and 10 attaining the Serre bound
Algebraic Geometry
2023-06-06 v1
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]).
Cite
@article{arxiv.2306.01928,
title = {New sextics of genus 6 and 10 attaining the Serre bound},
author = {Annamaria Iezzi and Motoko Qiu Kawakita and Marco Timpanella},
journal= {arXiv preprint arXiv:2306.01928},
year = {2023}
}