Unirationality of the Hurwitz space H_{9,8}
Algebraic Geometry
2017-08-11 v1
Abstract
In this paper we prove that the Hurwitz space H_{9,8}, which parameterizes 8-sheeted covers of P^1 by curves of genus 9, is unirational. Our construction leads to an explicit Macaulay2 code, which will randomly produce a nodal curve of degree 8 of geometric genus 9 with 12 double points and together with a pencil of degree 8.
Cite
@article{arxiv.1708.03291,
title = {Unirationality of the Hurwitz space H_{9,8}},
author = {Hamid Damadi and Frank-Olaf Schreyer},
journal= {arXiv preprint arXiv:1708.03291},
year = {2017}
}