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)[root-3]. The corresponding modular variety of dimension 3 is a copy of the Segre cubic.
Vector-valued modular forms on a three-dimensional ball / Freitag, Eberhard; Manni, Riccardo Salvati. - In: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9947. - 371:8(2018), pp. 5293-5308. [10.1090/tran/7343]
Vector-valued modular forms on a three-dimensional ball
Manni, Riccardo Salvati
2018
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)[root-3]. The corresponding modular variety of dimension 3 is a copy of the Segre cubic.File allegati a questo prodotto
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