The ring of Weyl invariant $E_8$ Jacobi forms
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910653922410496 |
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| author | Sakai, Kazuhiro |
| author_facet | Sakai, Kazuhiro |
| contents | We prove that the ring of Weyl invariant $E_8$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_12907 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The ring of Weyl invariant $E_8$ Jacobi forms Sakai, Kazuhiro Number Theory High Energy Physics - Theory Algebraic Geometry 11F50, 17B22, 13A50 We prove that the ring of Weyl invariant $E_8$ 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. |
| title | The ring of Weyl invariant $E_8$ Jacobi forms |
| topic | Number Theory High Energy Physics - Theory Algebraic Geometry 11F50, 17B22, 13A50 |
| url | https://arxiv.org/abs/2410.12907 |