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arXiv · 1701.08436

Borcherds Products on Unitary Group $U(2,1)$

Tonghai Yang·Dongxi Ye
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Abstract

In this note, we construct canonical bases for the spaces of weakly holomorphic modular forms with poles supported at the cusp $\infty$ for $\Gamma_{0}(4)$ of integral weight $k$ for $k\leq-1$, and we make use of the basis elements for the case $k=-1$ to construct explicit Borcherds products on unitary group $U(2,1)$.

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Tonghai Yang, Dongxi Ye. 2017-01-29. Borcherds Products on Unitary Group $U(2,1)$. https://arxiv.org/abs/1701.08436

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