Arithmetic of Borcherds products
Number Theory
2020-02-25 v2
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.
Keywords
Cite
@article{arxiv.1710.00347,
title = {Arithmetic of Borcherds products},
author = {Benjamin Howard and Keerthi Madapusi Pera},
journal= {arXiv preprint arXiv:1710.00347},
year = {2020}
}
Comments
Final version. To appear in Asterisque