The Moduli Space of Cubic Threefolds as a Ball Quotient

2006/08/11 by Daniel Allcock, Allcock, Daniel, James A. Carlson +3 · 5 citations
Mathematics · #14J30 #32G20 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #math.AG #math.GR #msc:14J30 #msc:32G20

paper · pdf · doi:10.48550/arxiv.math/0608287

77 pages

arxiv created 2006/08/11 · openalex publication_date 2006/08/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Die Fundamentalgruppe des Raumes der regul�ren Orbits einer endlichen komplexen Spiegelungsgruppe

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