Arithmetic of Borcherds products
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.
- Publication:
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arXiv e-prints
- Pub Date:
- October 2017
- DOI:
- arXiv:
- arXiv:1710.00347
- Bibcode:
- 2017arXiv171000347H
- Keywords:
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- Mathematics - Number Theory
- E-Print:
- Final version. To appear in Asterisque