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arXiv · 0710.5329

The moduli space of cubic threefolds via degenerations of the intermediate Jacobian

Sebastian Casalaina-Martin·Radu Laza
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Abstract

A well known result of Clemens and Griffiths says that a smooth cubic threefold can be recovered from its intermediate Jacobian. In this paper we discuss the possible degenerations of these abelian varieties, and thus give a description of the compactification of the moduli space of cubic threefolds obtained in this way. The relation between this compactification and those constructed in the work of Allcock-Carlson-Toledo and Looijenga-Swierstra is also considered, and is similar in spirit to the relation between the various compactifications of the moduli spaces of low genus curves.

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Sebastian Casalaina-Martin, Radu Laza. 2012-03-15. The moduli space of cubic threefolds via degenerations of the intermediate Jacobian. https://arxiv.org/abs/0710.5329

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