English

Counting rational points on the Cayley ruled cubic

Number Theory 2015-03-12 v2

Abstract

We count rational points of bounded height on the Cayley ruled cubic surface and interpret the result in the context of general conjectures due to Batyrev and Tschinkel.

Keywords

Cite

@article{arxiv.1410.3855,
  title  = {Counting rational points on the Cayley ruled cubic},
  author = {Régis de la Bretèche and Tim Browning and Per Salberger},
  journal= {arXiv preprint arXiv:1410.3855},
  year   = {2015}
}

Comments

18 pages; minor corrections; added proof that the surface is not toric

R2 v1 2026-06-22T06:23:38.488Z