Vector valued modular forms on three dimensional ball

Eberhard Freitag; Riccardo Salvati Manni

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arXiv · 1404.3057

Vector valued modular forms on three dimensional ball

Eberhard Freitag·Riccardo Salvati Manni

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Abstract

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.

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Eberhard Freitag, Riccardo Salvati Manni. 2014-04-11. Vector valued modular forms on three dimensional ball. https://arxiv.org/abs/1404.3057

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