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Licensed Unlicensed Requires Authentication Published by De Gruyter June 16, 2009

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

Sebastian Casalaina-Martin and Radu Laza
From the journal

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.

Received: 2007-12-04
Revised: 2008-03-10
Published Online: 2009-06-16
Published in Print: 2009-August

© Walter de Gruyter Berlin · New York 2009