Arithmetic of Borcherds products

Benjamin Howard; Keerthi Madapusi Pera

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arXiv · 1710.00347

Arithmetic of Borcherds products

Benjamin Howard·Keerthi Madapusi Pera

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Abstract

We compute the divisors of Borcherds products on integral models of orthogonal Shimura varieties. As an application, we obtain an integral version of a theorem of Borcherds on the modularity of a generating series of special divisors.

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Benjamin Howard, Keerthi Madapusi Pera. 2020-02-21. Arithmetic of Borcherds products. https://arxiv.org/abs/1710.00347

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