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arXiv · 1109.3603

The unirationality of Hurwitz spaces of 6-gonal curves of small genus

Florian Geiss
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Abstract

In this short note we prove the unirationality of Hurwitz spaces of 6-gonal curves of genus $g$ with $5\leq g\leq 28$ or $g=30,31,33,35,36,40,45$. Key ingredient is a liaison construction in $\PP^1 \times \PP^2$. By semicontinuity, the proof of the dominance of this construction is reduced to a computation of a single curve over a finite field.

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Florian Geiss. 2012-11-16. The unirationality of Hurwitz spaces of 6-gonal curves of small genus. https://arxiv.org/abs/1109.3603

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