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arXiv · 1106.5012

The final log canonical model of the moduli space of stable curves of genus four

Maksym Fedorchuk
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Abstract

We describe the final log canonical model of the moduli space of stable curves of genus four. We prove that the rational map from $\bar{M}_4$ to this model contracts the Petri and the boundary divisors and flips the hyperelliptic locus. As an application, we find an exact bound on slopes of moving divisors on $\bar{M}_4$.

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Maksym Fedorchuk. 2011-11-22. The final log canonical model of the moduli space of stable curves of genus four. https://arxiv.org/abs/1106.5012

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