English

Counting rational points on smooth cubic surfaces

Number Theory 2018-07-17 v3 Algebraic Geometry

Abstract

We prove that any smooth cubic surface defined over any number field satisfies the lower bound predicted by Manin's conjecture possibly after an extension of small degree.

Keywords

Cite

@article{arxiv.1409.6224,
  title  = {Counting rational points on smooth cubic surfaces},
  author = {Christopher Frei and Efthymios Sofos},
  journal= {arXiv preprint arXiv:1409.6224},
  year   = {2018}
}

Comments

11 pages, minor revision

R2 v1 2026-06-22T06:02:32.055Z