Generators for modules of vector-valued Picard modular forms

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.

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

References in corpus (2)

• Sur la cohomologie des systèmes locaux sur les espaces des modules des courbes de genre 2 et des surfaces abéliennes
• Siegel modular forms of degree three and the cohomology of local systems

Cited by in corpus (5)

• Siegel modular forms of genus 2 and level 2
• Free algebras of modular forms on ball quotients
• Exploring modular forms and the cohomology of local systems on moduli spaces by counting points
• Counting curves over finite fields
• Differential operators on modular forms (mod p)