A new converse theorem for Borcherds products
Number Theory
2025-12-25 v1
Abstract
We establish a new converse theorem for Borcherds products. Moreover, the injectivity of the Kudla-Millson theta lift is demonstrated in the O case in greater generality than is currently available in the literature. Both results are derived under the assumption of a single hyperbolic split of the base lattice.
Cite
@article{arxiv.2512.20701,
title = {A new converse theorem for Borcherds products},
author = {Ingmar Metzler},
journal= {arXiv preprint arXiv:2512.20701},
year = {2025}
}
Comments
27 pages, 1 figure