Graded rings of integral Jacobi forms
Number Theory
2020-04-30 v2 High Energy Physics - Theory
Algebraic Geometry
Algebraic Topology
Abstract
We determine the structure of the bigraded ring of weak Jacobi forms with integral Fourier coefficients. This ring is the target ring of a map generalising the Witten and elliptic genera and a partition function of -model in string theory. We also determine the structure of the graded ring of all weakly holomorphic Jacobi forms of weight zero and integral index with integral Fourier coefficients. These forms are the data for Borcherds products for the Siegel paramodular groups.
Cite
@article{arxiv.1810.09392,
title = {Graded rings of integral Jacobi forms},
author = {Valery Gritsenko and Haowu Wang},
journal= {arXiv preprint arXiv:1810.09392},
year = {2020}
}
Comments
Final version, to appear in J. Number Theory