English

Borcherds products of half-integral weight

Number Theory 2020-07-02 v1

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.

Keywords

Cite

@article{arxiv.2007.00055,
  title  = {Borcherds products of half-integral weight},
  author = {Haowu Wang and Brandon Williams},
  journal= {arXiv preprint arXiv:2007.00055},
  year   = {2020}
}

Comments

5 pages