j-invariant and Borcherds Phi-function
Algebraic Geometry
2021-04-08 v2 Number Theory
Abstract
We give a formula that relates the difference of the j-invariants with the Borcherds Phi-function, an automorphic form on the period domain for Enriques surfaces characterizing the discriminant divisor.
Cite
@article{arxiv.2103.02540,
title = {j-invariant and Borcherds Phi-function},
author = {Shu Kawaguchi and Shigeru Mukai and Ken-Ichi Yoshikawa},
journal= {arXiv preprint arXiv:2103.02540},
year = {2021}
}
Comments
Section 8 added, references updated and added