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 | |
bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Algebra%20&%20Number%20Theory&rft.date=2017&rft.volume=11&rft.spage=1047-1087&rft.epage=1047-1087&rft.eissn=1937-0652&rft.issn=1937-0652&rft.au=BILU,%20Yuri&LUCA,%20Florian&MASSER,%20David&rft.genre=article |
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