Unirationality of the Hurwitz space H9,8
Abstract
In this paper we prove that the Hurwitz space H9,8, which parameterizes 8-sheeted covers of P1 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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