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A compactification of $\mathcal M_3$ via $K3$ surfaces

Michela Artebani
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Abstract

S. Kondō defined a birational period map from the moduli space of genus three curves to a moduli space of degree four polarized K3 surfaces. In this paper we extend the period map to a surjective morphism on a suitable compactification of $\mathcal M_3$ and describe its geometry.

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Michela Artebani. 2005-11-01. A compactification of $\mathcal M_3$ via $K3$ surfaces. https://arxiv.org/abs/math/0511031

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