The ring of Weyl invariant $E_8$ Jacobi forms
Number Theory
2024-10-18 v1 High Energy Physics - Theory
Algebraic Geometry
Abstract
We prove that the ring of Weyl invariant weak Jacobi forms is isomorphic to that of joint covariants of a binary sextic and a binary quartic form. The ring is therefore finitely generated. A minimal basis of generators is obtained from that already known for the ring of covariants.
Cite
@article{arxiv.2410.12907,
title = {The ring of Weyl invariant $E_8$ Jacobi forms},
author = {Kazuhiro Sakai},
journal= {arXiv preprint arXiv:2410.12907},
year = {2024}
}
Comments
34 pages