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A compactification of $\mathcal{M}_{3}$ via K3 surfaces
Michela Artebani
Source: Nagoya Math. J. Volume 196
(2009), 1-26.
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.
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Permanent link to this document: http://projecteuclid.org/euclid.nmj/1263564646
Zentralblatt MATH identifier: 05660792
Mathematical Reviews number (MathSciNet): MR2591089
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