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February 2007 Automorphic forms on the $5$-dimensional complex ball with respect to the Picard modular group over $\mathbb Z[i]$
K. MATSUMOTO, T. MINOWA, R. NISHIMURA
Hokkaido Math. J. 36(1): 143-173 (February 2007). DOI: 10.14492/hokmj/1285766656

Abstract

We represent the $105$ automorphic forms on the $5$-dimensional complex ball $\mathbb B^5$ constructed by Matsumoto-Terasoma as the products of four linear combinations of the pull backs of theta constants under an embedding of $\mathbb B^5$ into the Siegel upper half space of degree $6$. They were used to describe the inverse of the period map for the family of the $4$-fold coverings of the complex projective line branching at eight points.

Citation

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K. MATSUMOTO. T. MINOWA. R. NISHIMURA. "Automorphic forms on the $5$-dimensional complex ball with respect to the Picard modular group over $\mathbb Z[i]$." Hokkaido Math. J. 36 (1) 143 - 173, February 2007. https://doi.org/10.14492/hokmj/1285766656

Information

Published: February 2007
First available in Project Euclid: 29 September 2010

zbMATH: 1135.11023
MathSciNet: MR2309827
Digital Object Identifier: 10.14492/hokmj/1285766656

Subjects:
Primary: 32N15
Secondary: 11F55, 14J15

Rights: Copyright © 2007 Hokkaido University, Department of Mathematics

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Vol.36 • No. 1 • February 2007
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