Journal of Algebraic Geometry Journal of Algebraic Geometry

     

Theta constants associated to cubic threefolds

Author(s): Keiji Matsumoto; Tomohide Terasoma
Journal: J. Algebraic Geom. 12 (2003), 741-775.
Posted: June 10, 2003
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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
Email: matsu@math.sci.hokudai.ac.jp

Tomohide Terasoma
Affiliation: Department of Mathematical Science, University of Tokyo, Komaba, Meguro, Tokyo, Japan
Email: terasoma@ms.u-tokyo.ac.jp

PII: S 1056-3911(03)00348-5
Received by editor(s): May 18, 2001
Received by editor(s) in revised form: March 25, 2002
Posted: June 10, 2003

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