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Journal of Algebraic Geometry

Journal of Algebraic Geometry

Online ISSN 1534-7486; Print ISSN 1056-3911



Theta constants associated to cubic threefolds

Authors: Keiji Matsumoto and Tomohide Terasoma
Journal: J. Algebraic Geom. 12 (2003), 741-775
Published electronically: June 10, 2003
MathSciNet review: 1993763
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Abstract | References | Additional Information

Abstract: We construct automorphic forms on the 4-dimensional complex ball which describe the inverse of a period map for marked cubic surfaces $X$ in terms of theta constants associated to the intermediate Jacobians of the triple coverings of the 3-dimensional complex projective space branching along $X$.

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Additional Information

Keiji Matsumoto
Affiliation: Division of Mathematics, Graduate School of Science, Hokkaido University, Sapporo, Japan

Tomohide Terasoma
Affiliation: Department of Mathematical Science, University of Tokyo, Komaba, Meguro, Tokyo, Japan

Received by editor(s): May 18, 2001
Received by editor(s) in revised form: March 25, 2002
Published electronically: June 10, 2003