# Generators for modules of vector-valued Picard modular forms

@article{Clry2013GeneratorsFM, title={Generators for modules of vector-valued Picard modular forms}, author={Fabien Cl{\'e}ry and Gerard van der Geer}, journal={Nagoya Mathematical Journal}, year={2013}, volume={212}, pages={19 - 57} }

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.

## 9 Citations

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This is a report on a joint project in experimental mathematics with Jonas Bergstr\"om and Carel Faber where we obtain information about modular forms by counting curves over finite fields.

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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…

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