The moduli space of cubic threefolds as a ball quotient

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 spac...

Ausführliche Beschreibung

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Bibliographische Detailangaben
Hauptverfasser: Allcock, Daniel, Carlson, James A., Toledo, Domingo
Format: E-Book Buch
Sprache:Englisch
Veröffentlicht: Providence, Rhode Island American Mathematical Society 2011
Ausgabe:1
Schriftenreihe:Memoirs of the American Mathematical Society
Schlagworte:
Moduli theory
Surfaces, Cubic
Threefolds (Algebraic geometry)
moduli space
Ball quotient
period map
cubic threefold
ISBN:0821847511, 9780821847510
ISSN:0065-9266, 1947-6221
Online-Zugang:Volltext
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Beschreibung
Zusammenfassung: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.
Bibliographie:Includes bibliographical references (p. 67-68) and index
Volume 209, number 985 (fourth of 5 numbers).
ISBN:0821847511
9780821847510
ISSN:0065-9266
1947-6221
DOI:10.1090/S0065-9266-10-00591-0