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Theta constants associated to coverings of P1 branching at eight points

Published online by Cambridge University Press:  04 December 2007

Keiji Matsumoto  and
Tomohide Terasoma
Keiji Matsumoto
Affiliation:
Division of Mathematics, Graduate School of Science, Hokkaido University, Japanmatsu@math.sci.hokudai.ac.jp
Tomohide Terasoma
Affiliation:
Department of Mathematical Science, University of Tokyo, Komaba, Meguro, Japanterasoma@ms.u-tokyo.ac.jp
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Abstract

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In this paper, we construct automorphic forms on the five-dimensional complex ball which give the inverse of the period map for cyclic 4-ple coverings of the complex projective line branching at eight points. We use theta constants associated to the Prym varieties of these coverings.

Keywords

period maptheta constantPrym variety14J15 (primary)32N1511F55 (secondary)
Type
Research Article
Information
Compositio Mathematica , Volume 140 , Issue 5 , September 2004 , pp. 1277 - 1301
Copyright
Foundation Compositio Mathematica 2004