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arXiv · 2512.20701

A new converse theorem for Borcherds products

Ingmar Metzler
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Abstract

We establish a new converse theorem for Borcherds products. Moreover, the injectivity of the Kudla-Millson theta lift is demonstrated in the O$(n,2)$ 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.

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Ingmar Metzler. 2025-12-23. A new converse theorem for Borcherds products. https://arxiv.org/abs/2512.20701

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