A new converse theorem for Borcherds products
arXiv:2512.20701
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.
27 pages, 1 figure