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The Moduli Space of Cubic Threefolds as a Ball Quotient

Daniel Allcock·James A. Carlson·Domingo Toledo
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Abstract

The moduli space of cubic threefolds in CP4, with some minor birational modifications, is the Baily-Borel compactification of the quotient of the complex 10-ball by a discrete group. We describe both the birational modifications and the discrete group explicitly.

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Daniel Allcock, James A. Carlson, Domingo Toledo. 2006-08-11. The Moduli Space of Cubic Threefolds as a Ball Quotient. https://arxiv.org/abs/math/0608287

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