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2009 A compactification of $\mathcal{M}_{3}$ via K3 surfaces
Michela Artebani
Nagoya Math. J. 196(none): 1-26 (2009).

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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Michela Artebani. "A compactification of $\mathcal{M}_{3}$ via K3 surfaces." Nagoya Math. J. 196 1 - 26, 2009.

Information

Published: 2009
First available in Project Euclid: 15 January 2010

zbMATH: 1184.14060
MathSciNet: MR2591089

Subjects:
Primary: 14H10, 14J10, 14J28

Rights: Copyright © 2009 Editorial Board, Nagoya Mathematical Journal

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Vol.196 • 2009
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