Work

Two graded rings of Hermitian modular forms

Year: 2021

Type: article

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.

Source: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg

DOI: 10.1007/s12188-021-00245-z

Author: Brandon Williams

Institution: RWTH Aachen University

Language: Latvian

Topic: Advanced Algebra and Geometry

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,780

Funder: RWTH Aachen University