Uniform bounds for rational points on hyperelliptic fibrations

2020/07/28 by Bonolis, Dante, Browning, Tim · 2 citations
#11D45 (11L40 #11N36 #14G05) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2007.14182

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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