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arXiv · 2007.14182

Uniform bounds for rational points on hyperelliptic fibrations

Dante Bonolis·Tim Browning
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Abstract

We apply a variant of the square-sieve to produce a uniform upper bound for the number of rational points of bounded height on a family of surfaces that admit a fibration over the projective line, whose general fibre is a hyperelliptic curve.

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Dante Bonolis, Tim Browning. 2020-07-28. Uniform bounds for rational points on hyperelliptic fibrations. https://arxiv.org/abs/2007.14182

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