Collinear CM-points
Language
en
Article de revue
This item was published in
Algebra & Number Theory. 2017, vol. 11, p. 1047-1087
Mathematical Sciences Publishers
English Abstract
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 ...Read more >
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.Read less <
Origin
Hal imported