Singular Moduli that are Algebraic Units
Number Theory
2016-01-20 v1
Abstract
We prove that only finitely many -invariants of elliptic curves with complex multiplication are algebraic units. A rephrased and generalized version of this result resembles Siegel's Theorem on integral points of algebraic curves.
Cite
@article{arxiv.1402.1632,
title = {Singular Moduli that are Algebraic Units},
author = {Philipp Habegger},
journal= {arXiv preprint arXiv:1402.1632},
year = {2016}
}
Comments
9 pages