Quasi-pullback of Borcherds products
Number Theory
2019-10-14 v2 Algebraic Geometry
Representation Theory
Abstract
Quasi-pullback of Borcherds products is an operation of renormalized restriction. It produces a meromorphic modular form on a lower dimensional symmetric domain which is again a Borcherds product. We give an explicit formula for the weakly holomorphic modular form of Weil representation type whose Borcherds lift is the quasi-pullback of the given Borcherds product.
Cite
@article{arxiv.1801.08333,
title = {Quasi-pullback of Borcherds products},
author = {Shouhei Ma},
journal= {arXiv preprint arXiv:1801.08333},
year = {2019}
}
Comments
to appear in Bull. London Math. Soc