English

Generators for modules of vector-valued Picard modular forms

Algebraic Geometry 2015-01-14 v3 Number Theory

Abstract

We construct generators for modules of vector-valued Picard modular forms on a unitary group of type (2,1) over the Eisenstein integers. We also calculate eigenvalues of Hecke operators acting on cusp forms.

Keywords

Cite

@article{arxiv.1202.0131,
  title  = {Generators for modules of vector-valued Picard modular forms},
  author = {Fabien Cléry and Gerard van der Geer},
  journal= {arXiv preprint arXiv:1202.0131},
  year   = {2015}
}

Comments

31 pages; minor corrections; to appear in Nagoya Math Journal

R2 v1 2026-06-21T20:13:09.815Z