%0 Journal Article %T Vector valued modular forms on three dimensional ball %A Eberhard Freitag %A Riccardo Salvati Manni %J Mathematics %D 2014 %I arXiv %X Cl\'ery and van der Geer determined generators for some modules of vector valued Picard modular forms on the two dimensional ball. In this paper we consider 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. %U http://arxiv.org/abs/1404.3057v1