Publications [#374559] of Dante Bonolis

Papers Published

1. Dante, B; Tim, B, Uniform bounds for rational points on hyperelliptic fibrations, Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, vol. 24 no. 1 (January, 2023), pp. 173-204, Scuola Normale Superiore - Edizioni della Normale [doi]
   (last updated on 2024/08/15)

   Abstract:
   We apply a variant of the square-sieve to produce an upper bound for the number of rational points of bounded height on a family of surfaces that admit a fibration over P1 whose general fibre is a hyperelliptic curve. The implied constant does not depend on the coefficients of the polynomial defining the surface.