Abstract
S. Kondō defined a birational period map between the moduli space of genus three curves and a moduli space of polarized K3 surfaces. In this paper we give a resolution of the period map, providing a surjective morphism from a suitable compactification of $\mathcal{M}_{3}$ to the Baily-Borel compactification of a six dimensional ball quotient.
Citation
Michela Artebani. "A compactification of $\mathcal{M}_{3}$ via K3 surfaces." Nagoya Math. J. 196 1 - 26, 2009.
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