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Linear Equations in Singular Moduli
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
dc.contributor.author | BILU, Yuri | |
dc.contributor.author | KÜHNE, Lars | |
dc.date.accessioned | 2024-04-04T03:04:29Z | |
dc.date.available | 2024-04-04T03:04:29Z | |
dc.date.issued | 2020 | |
dc.identifier.issn | 1073-7928 | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/193158 | |
dc.description.abstractEn | We establish an effective version of the Andr\'e-Oort conjecture for linear subspaces of $Y(1)^n_{\mathbb{C}} \approx \mathbb{A}_{\mathbb{C}}^n$. Apart from the trivial examples provided by weakly special subvarieties, this yields the first algebraic subvarieties in a Shimura variety of dimension $> 1$ whose CM-points can be (theoretically) determined. | |
dc.language.iso | en | |
dc.publisher | Oxford University Press (OUP) | |
dc.title.en | Linear Equations in Singular Moduli | |
dc.type | Article de revue | |
dc.identifier.doi | 10.1093/imrn/rny216 | |
dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
dc.identifier.arxiv | 1712.04027 | |
bordeaux.journal | International Mathematics Research Notices | |
bordeaux.page | 7617-7643 | |
bordeaux.volume | 21 | |
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-01914599 | |
hal.version | 1 | |
hal.popular | non | |
hal.audience | Internationale | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-01914599v1 | |
bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=International%20Mathematics%20Research%20Notices&rft.date=2020&rft.volume=21&rft.spage=7617-7643&rft.epage=7617-7643&rft.eissn=1073-7928&rft.issn=1073-7928&rft.au=BILU,%20Yuri&K%C3%9CHNE,%20Lars&rft.genre=article |
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