Automorphic forms on the $5$-dimensional complex ball with respect to the Picard modular group over $\mathbb Z[i]$
MATSUMOTO, K. ; MINOWA, T. ; NISHIMURA, R.
Hokkaido Math. J., Tome 36 (2007) no. 4, p. 143-173 / Harvested from Project Euclid
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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.
Publié le : 2007-02-15
Classification:  automorphic forms,  theta constants,  32N15,  11F55,  14J15 
@article{1285766656,
     author = {MATSUMOTO, K. and MINOWA, T. and NISHIMURA, R.},
     title = {Automorphic forms on the $5$-dimensional complex ball with respect to the Picard modular group over $\mathbb Z[i]$},
     journal = {Hokkaido Math. J.},
     volume = {36},
     number = {4},
     year = {2007},
     pages = { 143-173},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1285766656}
}

MATSUMOTO, K.; MINOWA, T.; NISHIMURA, R. Automorphic forms on the $5$-dimensional complex ball with respect to the Picard modular group over $\mathbb Z[i]$. Hokkaido Math. J., Tome 36 (2007) no. 4, pp.  143-173. http://gdmltest.u-ga.fr/item/1285766656/