The ring of Weyl invariant Jacobi forms
arXiv:2410.12907 · doi:10.1007/s00209-026-04085-6
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.
34 pages, v2: published version