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arXiv · 1905.03487

Birational geometry of moduli of curves with an $S_3$-cover

Mattia Galeotti
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Abstract

We consider the space $\mathcal R_{g,S_3}^{S_3}$ of curves with a connected $S_3$-cover, proving that for any odd genus $g\geq 13$ this moduli is of general type. Furthermore we develop a set of tools that are essential in approaching the case of $G$-covers for any finite group $G$.

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Mattia Galeotti. 2019-05-09. Birational geometry of moduli of curves with an $S_3$-cover. https://doi.org/10.1016/j.aim.2021.107898

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