English

Points of bounded height on quintic del Pezzo surfaces over the rational numbers

Number Theory 2025-05-12 v1 Algebraic Geometry

Abstract

We give a relatively short and elementary proof of Manin's conjecture for split smooth quintic del Pezzo surfaces over the rational numbers.

Keywords

Cite

@article{arxiv.2505.06065,
  title  = {Points of bounded height on quintic del Pezzo surfaces over the rational numbers},
  author = {Christian Bernert and Ulrich Derenthal},
  journal= {arXiv preprint arXiv:2505.06065},
  year   = {2025}
}

Comments

15 pages