Very strong approximation for certain algebraic varieties
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | LIU, Qing | |
| dc.contributor.author | XU, Fei | |
| dc.date.accessioned | 2024-04-04T03:16:02Z | |
| dc.date.available | 2024-04-04T03:16:02Z | |
| dc.date.created | 2014-05-08 | |
| dc.date.issued | 2015-12 | |
| dc.identifier.issn | 0025-5831 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194180 | |
| dc.description.abstractEn | Let F be a global field. In this work, we show that the Brauer-Manin condition on adelic points for subvarieties of a torus T over F cuts out exactly the rational points, if either F is a function field or, if F is the field of rational numbers and T is split. As an application, we prove a conjecture of Harari-Voloch over global function fields which states, roughly speaking, that on any rational hyperbolic curve, the local integral points with the Brauer-Manin condition are the global integral points. Finally we prove for tori over number fields a theorem of Stoll on adelic points of zero-dimensional subvarieties in abelian varieties. | |
| dc.language.iso | en | |
| dc.publisher | Springer Verlag | |
| dc.title.en | Very strong approximation for certain algebraic varieties | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Géométrie algébrique [math.AG] | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| dc.identifier.arxiv | 1405.1988 | |
| bordeaux.journal | Mathematische Annalen | |
| bordeaux.page | 701-731 | |
| bordeaux.volume | 363 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 3 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01257924 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01257924v1 | |
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