Integral points of bounded height on quintic del Pezzo surfaces over number fields

authored by

Christian Bernert, Ulrich Derenthal

Abstract

We prove an asymptotic formula for the number of integral points of bounded log-anticanonical height on split smooth quintic del Pezzo surfaces over number fields, with respect to one of the lines as the boundary divisor.

Organisation(s)

Institute of Algebra, Number Theory and Discrete Mathematics

Type

Preprint

Publication date

15.05.2025

Publication status

E-pub ahead of print

Electronic version(s)

https://doi.org/10.48550/arXiv.2505.10077 (Access: Open)