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Graded rings of integral Jacobi forms
Journal of Number Theory ( IF 0.7 ) Pub Date : 2020-09-01 , DOI: 10.1016/j.jnt.2020.03.006
Valery Gritsenko , Haowu Wang

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 $(0,2)$-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.

中文翻译:

积分雅可比形式的分级环

我们确定了具有积分傅立叶系数的弱雅可比形式的双级环的结构。该环是广义Witten属和椭圆属以及弦论中$(0,2)$-模型的配分函数的映射的目标环。我们还确定了所有弱全纯雅可比形式的权重零和积分指数与傅立叶积分系数的分级环的结构。这些表格是用于 Siegel 准模群的 Borcherds 产品的数据。
更新日期:2020-09-01
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