Graded rings of paramodular forms of levels $5$ and $7$
Number Theory
2020-03-17 v2
Abstract
We compute generators and relations for the graded rings of paramodular forms of degree two and levels 5 and 7. The generators are expressed as quotients of Gritsenko lifts and Borcherds products. The computation is made possible by a characterization of modular forms on the Humbert surfaces of discriminant 4 that arise from paramodular forms by restriction.
Keywords
Cite
@article{arxiv.1904.10201,
title = {Graded rings of paramodular forms of levels $5$ and $7$},
author = {Brandon Williams},
journal= {arXiv preprint arXiv:1904.10201},
year = {2020}
}
Comments
22 pages. Minor corrections