# Uniform bounds for rational points on hyperelliptic fibrations

@article{Bonolis2021UniformBF, title={Uniform bounds for rational points on hyperelliptic fibrations}, author={Dante Bonolis and Tim D. Browning}, journal={ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE}, year={2021} }

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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