The moduli space of cubic threefolds as a ball quotient

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The moduli space of cubic threefolds as a ball quotient

Daniel Allcock, James A. Carlson, Domingo Toledo

(Memoirs of the American Mathematical Society, no. 985)

American Mathematical Society, c2010

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"Volume 209, number 985 (fourth of 5 numbers)."

Includes bibliographical references (p. 67-68) and index

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Description

The moduli space of cubic threefolds in $\mathbb{C}P^4$, with some minor birational modifications, is the Baily-Borel compactification of the quotient of the complex 10-ball by a discrete group. The authors describe both the birational modifications and the discrete group explicitly.|The moduli space of cubic threefolds in $\mathbb{C}P^4$, with some minor birational modifications, is the Baily-Borel compactification of the quotient of the complex 10-ball by a discrete group. The authors describe both the birational modifications and the discrete group explicitly.

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