Two graded rings of Hermitian modular forms

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, vol. 91, pp. 257–285

Abstract

Abstract We give generators and relations for the graded rings of Hermitian modular forms of degree two over the rings of integers in $${\mathbb {Q}}(\sqrt{-7})$$ Q ( - 7 ) and $${\mathbb {Q}}(\sqrt{-11})$$ Q ( - 11 ) . In both cases we prove that the subrings of symmetric modular forms are generated by Maass lifts. The computation uses a reduction process against Borcherds products which also leads to a dimension formula for the spaces of modular forms.

Authors 1

1. Brandon Williams corresponding Aachen Lehrstuhl A für Mathematik

   RWTH Aachen University

   Affiliation as printed

   Lehrstuhl A für Mathematik, RWTH Aachen, 52062, Aachen, Germany

   Lehrstuhl A für Mathematik, RWTH-Aachen, Aachen, Germany