We prove that, with "obvious" exceptions, a CM-point (j)τ1), (j)τ2)) cannot belong to a straight line in C2 defined over Q. This generalizes a result of Kühne, who proved this for the line x1 + x2 = 1.
CITATION STYLE
Allombert, B., Bilu, Y., & Pizarro-Madariaga, A. (2015). CM-points on straight lines. In Analytic Number Theory: In Honor of Helmut Maier’s 60th Birthday (pp. 1–18). Springer International Publishing. https://doi.org/10.1007/978-3-319-22240-0_1
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