English

Vector valued modular forms on three dimensional ball

Number Theory 2017-07-03 v1 Algebraic Geometry

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 Γ3[3]\Gamma_3[\sqrt{-3}]. The corresponding modular variety of dimension 3 is a copy of the Segre cubic.

Cite

@article{arxiv.1404.3057,
  title  = {Vector valued modular forms on three dimensional ball},
  author = {Eberhard Freitag and Riccardo Salvati Manni},
  journal= {arXiv preprint arXiv:1404.3057},
  year   = {2017}
}
R2 v1 2026-06-22T03:48:39.225Z