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, M.N.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_10737928_v2015_n14_p5644_Walsh
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_10737928_v2015_n14_p5644_Walsh
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spelling todo:paper_10737928_v2015_n14_p5644_Walsh2023-10-03T16:02:56Z Bounded Rational Points on Curves Walsh, M.N. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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.
format JOUR
author Walsh, M.N.
spellingShingle Walsh, M.N.
Bounded Rational Points on Curves
author_facet Walsh, M.N.
author_sort Walsh, M.N.
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
url http://hdl.handle.net/20.500.12110/paper_10737928_v2015_n14_p5644_Walsh
work_keys_str_mv AT walshmn boundedrationalpointsoncurves
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