Borcherds products of half-integral weight

Haowu Wang; Brandon Williams

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arXiv · 2007.00055

Borcherds products of half-integral weight

Haowu Wang·Brandon Williams

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Abstract

We give a necessary and sufficient criterion for the existence of Borcherds products of half-integral weight associated to even lattices that split two hyperbolic planes. In particular we prove that half-integral weight Borcherds products exist for lattices of arbitrary rank.

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Haowu Wang, Brandon Williams. 2020-06-30. Borcherds products of half-integral weight. https://arxiv.org/abs/2007.00055

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