There are no extremal eutactic stars other than root systems

Fuente: arXiv
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Autore principale: Wang, Haowu
Natura: Preprint
Pubblicazione: 2023
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author Wang, Haowu
author_facet Wang, Haowu
contents A eutactic star on an integral lattice is called extremal if it induces a holomorphic Jacobi form of lattice index and singular weight via the theta block. The famous Macdonald identities imply that root systems are extremal as eutactic stars. In this paper we prove that every extremal eutactic star arises as a root system. This answers a question posed by Skoruppa.
format Preprint
id arxiv_https___arxiv_org_abs_2302_00184
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle There are no extremal eutactic stars other than root systems
Wang, Haowu
Number Theory
11F50, 17B22
A eutactic star on an integral lattice is called extremal if it induces a holomorphic Jacobi form of lattice index and singular weight via the theta block. The famous Macdonald identities imply that root systems are extremal as eutactic stars. In this paper we prove that every extremal eutactic star arises as a root system. This answers a question posed by Skoruppa.
title There are no extremal eutactic stars other than root systems
topic Number Theory
11F50, 17B22
url https://arxiv.org/abs/2302.00184