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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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 |
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Universidad de Buenos Aires |
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I-28 |
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R-134 |
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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. |
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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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1807324019170476032 |