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arXiv · 1310.5561

The stable hyperelliptic locus in genus 3: An application of Porteous Formula

Eduardo Esteves
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Abstract

We compute the class of the closure of the locus of hyperelliptic curves in the moduli space of stable genus-3 curves in terms of the tautological class $λ$ and the boundary classes $δ_0$ and $δ_1$. The expression of this class is known, but here we compute it directly, by means of Porteous Formula, without resorting to blowups or test curves.

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Eduardo Esteves. 2013-10-21. The stable hyperelliptic locus in genus 3: An application of Porteous Formula. https://arxiv.org/abs/1310.5561

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