Isolated points on modular curves
Faltings’s theorem on rational points on subvarieties of abelian varieties can be used to show that al butfinitely many algebraic points on a curve arise in families parametrized byP1or positive rank abelian va-rieties; we call these finitely many exceptions isolated points. We study how isolated po...
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ftdatacite:10.5446/53532 2023-05-15T16:04:54+02:00 Isolated points on modular curves Viray, Bianca 2019 https://dx.doi.org/10.5446/53532 https://av.tib.eu/media/53532 en eng Centre International de Rencontres Mathématiques (CIRM) Mathematics FOS Mathematics Lachaud, Gilles Gilles Lachaud Conference/Talk MediaObject article Audiovisual 2019 ftdatacite https://doi.org/10.5446/53532 2021-11-05T12:55:41Z Faltings’s theorem on rational points on subvarieties of abelian varieties can be used to show that al butfinitely many algebraic points on a curve arise in families parametrized byP1or positive rank abelian va-rieties; we call these finitely many exceptions isolated points. We study how isolated points behave undermorphisms and then specialize to the case of modular curves. We show that isolated points onX1(n) pushdown to isolated points on a modular curve whose level is bounded by a constant that depends only on thej-invariant of the isolated point. This is joint work with A. Bourdon, O. Ejder, Y. Liu, and F. Odumodu. Article in Journal/Newspaper ejder DataCite Metadata Store (German National Library of Science and Technology) |
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Open Polar |
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DataCite Metadata Store (German National Library of Science and Technology) |
op_collection_id |
ftdatacite |
language |
English |
topic |
Mathematics FOS Mathematics Lachaud, Gilles Gilles Lachaud |
spellingShingle |
Mathematics FOS Mathematics Lachaud, Gilles Gilles Lachaud Viray, Bianca Isolated points on modular curves |
topic_facet |
Mathematics FOS Mathematics Lachaud, Gilles Gilles Lachaud |
description |
Faltings’s theorem on rational points on subvarieties of abelian varieties can be used to show that al butfinitely many algebraic points on a curve arise in families parametrized byP1or positive rank abelian va-rieties; we call these finitely many exceptions isolated points. We study how isolated points behave undermorphisms and then specialize to the case of modular curves. We show that isolated points onX1(n) pushdown to isolated points on a modular curve whose level is bounded by a constant that depends only on thej-invariant of the isolated point. This is joint work with A. Bourdon, O. Ejder, Y. Liu, and F. Odumodu. |
format |
Article in Journal/Newspaper |
author |
Viray, Bianca |
author_facet |
Viray, Bianca |
author_sort |
Viray, Bianca |
title |
Isolated points on modular curves |
title_short |
Isolated points on modular curves |
title_full |
Isolated points on modular curves |
title_fullStr |
Isolated points on modular curves |
title_full_unstemmed |
Isolated points on modular curves |
title_sort |
isolated points on modular curves |
publisher |
Centre International de Rencontres Mathématiques (CIRM) |
publishDate |
2019 |
url |
https://dx.doi.org/10.5446/53532 https://av.tib.eu/media/53532 |
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ejder |
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ejder |
op_doi |
https://doi.org/10.5446/53532 |
_version_ |
1766400544380813312 |