Bilu, Yuri and Luca, Florina and Masser, David. (2017) Collinear CM-points. Algebra and Number Theory, 11 (5). pp. 1047-1087.
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Abstract
André’s celebrated theorem of 1998 implies that each complex straight line Ax+By+C=0 (apart from obvious exceptions) contains at most finitely many points (j(τ),j(τ')), where τ,τ'∈H are algebraic of degree 2 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.
| Faculties and Departments: | 05 Faculty of Science > Departement Mathematik und Informatik > Ehemalige Einheiten Mathematik & Informatik > Zahlentheorie (Masser) |
|---|---|
| UniBasel Contributors: | Masser, David |
| Item Type: | Article, refereed |
| Article Subtype: | Research Article |
| Publisher: | Mathematical Sciences Publishers |
| ISSN: | 1937-0652 |
| e-ISSN: | 1944-7833 |
| Note: | Publication type according to Uni Basel Research Database: Journal article |
| Identification Number: | |
| Last Modified: | 24 Jul 2020 12:40 |
| Deposited On: | 24 Jul 2020 12:40 |
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