Uniform bounds for rational points on hyperelliptic fibrations
Abstract
We apply a variant of the squaresieve 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.
 Publication:

arXiv eprints
 Pub Date:
 July 2020
 arXiv:
 arXiv:2007.14182
 Bibcode:
 2020arXiv200714182B
 Keywords:

 Mathematics  Number Theory;
 11D45 (11L40;
 11N36;
 14G05)
 EPrint:
 30 pages