Borcherds products of half-integral weight
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.
- Publication:
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arXiv e-prints
- Pub Date:
- June 2020
- DOI:
- 10.48550/arXiv.2007.00055
- arXiv:
- arXiv:2007.00055
- Bibcode:
- 2020arXiv200700055W
- Keywords:
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- Mathematics - Number Theory
- E-Print:
- 5 pages