Collinear CM-points
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | BILU, Yuri | |
| dc.contributor.author | LUCA, Florian | |
| hal.structure.identifier | Université de Bâle = University of Basel = Basel Universität [Unibas] | |
| dc.contributor.author | MASSER, David | |
| dc.date.accessioned | 2024-04-04T03:15:44Z | |
| dc.date.available | 2024-04-04T03:15:44Z | |
| dc.date.issued | 2017 | |
| dc.identifier.issn | 1937-0652 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194166 | |
| dc.description.abstractEn | 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. | |
| dc.language.iso | en | |
| dc.publisher | Mathematical Sciences Publishers | |
| dc.title.en | Collinear CM-points | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.2140/ant.2017.11.1047 | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| dc.identifier.arxiv | 1503.08378 | |
| bordeaux.journal | Algebra & Number Theory | |
| bordeaux.page | 1047-1087 | |
| bordeaux.volume | 11 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01262079 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01262079v1 | |
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