CM-Points on Straight Lines
arXiv:1406.1274
Abstract
We prove that, with "obvious" exceptions, a CM-point (j(τ),j(τ')) cannot belong to a straight line in C^2 defined over Q. This generalizes a result of Kühne, who proved this for the line x+y=1.
Accepted for publication in "Analytic Number Theory" (dedicated do H. Maier), Springer, to appear