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arXiv · 2007.07822

A census of all genus 4 curves over the field with 2 elements

Xavier Xarles
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Abstract

We explain how we computed equations for all genus 4 curves defined of the field with 2 elements, up-to-isomorphism, and some of the data we obtained. We give descriptions also of nice models for genus 4 curves over characteristic 2 fields, in both the hyperelliptic case and the trigonal case.

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Xavier Xarles. 2020-07-15. A census of all genus 4 curves over the field with 2 elements. https://arxiv.org/abs/2007.07822

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