Bounded Rational Points on Curves

We establish the uniform estimate <<<inf>d</inf>N2/d for the number of rational points of height at most N on an irreducible curve of degree d. We deduce this from a result for general hypersurfaces that is sensitive to the coefficients of the corresponding form. © 2014 The Author(...

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Autor principal: Walsh, Miguel Nicolás
Publicado: 2015
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10737928_v2015_n14_p5644_Walsh
http://hdl.handle.net/20.500.12110/paper_10737928_v2015_n14_p5644_Walsh
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_10737928_v2015_n14_p5644_Walsh
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spelling paper:paper_10737928_v2015_n14_p5644_Walsh2023-06-08T16:04:59Z Bounded Rational Points on Curves Walsh, Miguel Nicolás We establish the uniform estimate <<<inf>d</inf>N2/d for the number of rational points of height at most N on an irreducible curve of degree d. We deduce this from a result for general hypersurfaces that is sensitive to the coefficients of the corresponding form. © 2014 The Author(s) 2014. Published by Oxford University Press. All rights reserved. For permissions, please e-mail: journals.permissions@oup.com. Fil:Walsh, M.N. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2015 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10737928_v2015_n14_p5644_Walsh http://hdl.handle.net/20.500.12110/paper_10737928_v2015_n14_p5644_Walsh
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description We establish the uniform estimate <<<inf>d</inf>N2/d for the number of rational points of height at most N on an irreducible curve of degree d. We deduce this from a result for general hypersurfaces that is sensitive to the coefficients of the corresponding form. © 2014 The Author(s) 2014. Published by Oxford University Press. All rights reserved. For permissions, please e-mail: journals.permissions@oup.com.
author Walsh, Miguel Nicolás
spellingShingle Walsh, Miguel Nicolás
Bounded Rational Points on Curves
author_facet Walsh, Miguel Nicolás
author_sort Walsh, Miguel Nicolás
title Bounded Rational Points on Curves
title_short Bounded Rational Points on Curves
title_full Bounded Rational Points on Curves
title_fullStr Bounded Rational Points on Curves
title_full_unstemmed Bounded Rational Points on Curves
title_sort bounded rational points on curves
publishDate 2015
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10737928_v2015_n14_p5644_Walsh
http://hdl.handle.net/20.500.12110/paper_10737928_v2015_n14_p5644_Walsh
work_keys_str_mv AT walshmiguelnicolas boundedrationalpointsoncurves
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