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Abstract:

We establish the uniform estimate <<dN2/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.

Registro:

Documento: Artículo
Título:Bounded Rational Points on Curves
Autor:Walsh, M.N.
Filiación:Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Buenos Aires, 1428, Argentina
Año:2015
Volumen:2015
Número:14
Página de inicio:5644
Página de fin:5658
DOI: http://dx.doi.org/10.1093/imrn/rnu103
Título revista:International Mathematics Research Notices
Título revista abreviado:Int. Math. Res. Not.
ISSN:10737928
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10737928_v2015_n14_p5644_Walsh

Referencias:

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Citas:

---------- APA ----------
(2015) . Bounded Rational Points on Curves. International Mathematics Research Notices, 2015(14), 5644-5658.
http://dx.doi.org/10.1093/imrn/rnu103
---------- CHICAGO ----------
Walsh, M.N. "Bounded Rational Points on Curves" . International Mathematics Research Notices 2015, no. 14 (2015) : 5644-5658.
http://dx.doi.org/10.1093/imrn/rnu103
---------- MLA ----------
Walsh, M.N. "Bounded Rational Points on Curves" . International Mathematics Research Notices, vol. 2015, no. 14, 2015, pp. 5644-5658.
http://dx.doi.org/10.1093/imrn/rnu103
---------- VANCOUVER ----------
Walsh, M.N. Bounded Rational Points on Curves. Int. Math. Res. Not. 2015;2015(14):5644-5658.
http://dx.doi.org/10.1093/imrn/rnu103