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On hyperelliptic curves of genus 3

Algebraic Geometry 2018-06-11 v1

Abstract

We study the moduli space of genus 3 hyperelliptic curves via the weighted projective space of binary octavics. This enables us to create a database of all genus 3 hyperelliptic curves defined over Q\mathbb Q, of weighted moduli height h=1\mathcal h =1.

Keywords

Cite

@article{arxiv.1806.02849,
  title  = {On hyperelliptic curves of genus 3},
  author = {Lubjana Beshaj and Monika Polak},
  journal= {arXiv preprint arXiv:1806.02849},
  year   = {2018}
}