CM-Points on Straight Lines
classification
🧮 math.NT
keywords
linestraightbelongcannotcm-pointcm-pointsdefinedexceptions
read the original abstract
We prove that, with "obvious" exceptions, a CM-point (j(\tau),j(\tau')) cannot belong to a straight line in C^2 defined over Q. This generalizes a result of K\"uhne, who proved this for the line x+y=1.
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