Collinear CM-points
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en
Article de revue
Ce document a été publié dans
Algebra & Number Theory. 2017, vol. 11, p. 1047-1087
Mathematical Sciences Publishers
Résumé en anglais
Andr\'e's celebrated Theorem of 1998 implies that each complex straight line (apart from obvious exceptions) contains at most finitely many points whose both coordinates are j-invariants of elliptic curves with complex ...Lire la suite >
Andr\'e's celebrated Theorem of 1998 implies that each complex straight line (apart from obvious exceptions) contains at most finitely many points whose both coordinates are j-invariants of elliptic curves with complex multiplication. We show that there are only a finite number of such lines which contain more than two such points. As there is a line through any two complex points, this is best possible.< Réduire
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