Vector-valued modular forms on a three-dimensional ball

Freitag, Eberhard; Manni, Riccardo

doi:10.1090/tran/7343

Vector-valued modular forms on a three-dimensional ball
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Trans. Amer. Math. Soc. 371 (2019), 5293-5308 Request permission

Abstract:

In this paper we give a structure theorem for the module of vector valued modular forms in the case of a three dimensional ball with the action of the Picard modular group $\Gamma _3 [\sqrt {-3}]$. The corresponding modular variety of dimension $3$ is a copy of the Segre cubic.

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