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arXiv · 1308.0574

Bounded rational points on curves

Miguel N. Walsh
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Abstract

We establish the sharp estimate <<_d N^{2/d} for the number of rational points of height at most N on an irreducible projective curve of degree d. We deduce this from a result for general hypersurfaces that is sensitive to the coefficients of the corresponding form.

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Miguel N. Walsh. 2013-09-04. Bounded rational points on curves. https://arxiv.org/abs/1308.0574

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