Two graded rings of Hermitian modular forms

2020/01/13 by Williams, Brandon · 2 citations
#11F27 #11F55 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2001.04154

Abstract

We give generators and relations for the graded rings of Hermitian modular forms of degree two over the rings of integers in ℚ(√(-7)) and 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.

Cited by

• Hermitian modular forms and algebraic modular forms on SO(6)
• Finiteness of Free Algebras of Modular Forms on Unitary Groups

Related

• A ring of symmetric Hermitian modular forms of degree 2 with integral Fourier coefficients
• The graded ring of modular forms on the Cayley half-space of degree two
• The rings of Hilbert modular forms for ℚ(√(29)) and ℚ(√(37))
• Graded rings of Hermitian modular forms with singularities
• Explicit structure of the graded ring of modular forms