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A Compactification of 3 via K3 Surfaces

Published online by Cambridge University Press:  11 January 2016

Michela Artebani
Michela Artebani*
Affiliation:
Departamento de Matemática Universidad de Concepción, Casilla 160-C, Concepción, Chile, [email protected]
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Abstract

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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 3 to the Baily-Borel compactification of a six dimensional ball quotient.

Keywords

14J1014J2814H10
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 196 , 2009 , pp. 1 - 26
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2009

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