M24-twisted Product Expansions are Siegel Modular Forms
Number Theory
2013-05-08 v4
Abstract
Cheng constructed product expansions from twists of elliptic genera of symmetric powers of K3 surfaces that are related to M_24 moonshine. We study which of them are Siegel modular forms. If the predicted level is non-composite, they are modular, and their powers can be represented as products of rescaled Borcherds products.
Cite
@article{arxiv.1208.3453,
title = {M24-twisted Product Expansions are Siegel Modular Forms},
author = {Martin Raum},
journal= {arXiv preprint arXiv:1208.3453},
year = {2013}
}
Comments
14 pages, additional data on author's homepage