Algebra & Number Theory
- Algebra Number Theory
- Volume 11, Number 5 (2017), 1047-1087.
André’s celebrated theorem of 1998 implies that each complex straight line (apart from obvious exceptions) contains at most finitely many points , where are algebraic of degree . 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 the best possible result.
Algebra Number Theory, Volume 11, Number 5 (2017), 1047-1087.
Received: 2 January 2016
Revised: 27 November 2016
Accepted: 31 March 2017
First available in Project Euclid: 12 December 2017
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Bilu, Yuri; Luca, Florian; Masser, David. Collinear CM-points. Algebra Number Theory 11 (2017), no. 5, 1047--1087. doi:10.2140/ant.2017.11.1047. https://projecteuclid.org/euclid.ant/1513090722