Singular moduli of higher level and special cycles
Number Theory
2015-06-26 v2
Abstract
We describe the complex multiplication (CM) values of modular functions for whose divisor is given by a linear combination of Heegner divisors in terms of special cycles on the stack of CM elliptic curves. In particular, our results apply to Borcherds products of weight for . By working out explicit formulas for the special cycles, we obtain the prime ideal factorizations of such CM values.
Keywords
Cite
@article{arxiv.1505.02711,
title = {Singular moduli of higher level and special cycles},
author = {Stephan Ehlen},
journal= {arXiv preprint arXiv:1505.02711},
year = {2015}
}
Comments
25 pages; Research in the Mathematical Sciences (2015, to appear); Fixed internal references and corrected some typos