English

Counting rational points on del Pezzo surfaces with a conic bundle structure

Number Theory 2013-11-08 v1

Abstract

For any number field k, upper bounds are established for the number of k-rational points of bounded height on non-singular del Pezzo surfaces defined over k, which are equipped with suitable conic bundle structures over k.

Keywords

Cite

@article{arxiv.1311.1665,
  title  = {Counting rational points on del Pezzo surfaces with a conic bundle structure},
  author = {T. D. Browning and M. Swarbrick Jones},
  journal= {arXiv preprint arXiv:1311.1665},
  year   = {2013}
}

Comments

29 pages

R2 v1 2026-06-22T02:02:58.348Z