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arXiv · 1708.03291

Unirationality of the Hurwitz space H_{9,8}

Hamid Damadi·Frank-Olaf Schreyer
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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.

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Hamid Damadi, Frank-Olaf Schreyer. 2017-08-10. Unirationality of the Hurwitz space H_{9,8}. https://arxiv.org/abs/1708.03291

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