English

Quadratic congruences on average and rational points on cubic surfaces

Number Theory 2015-07-23 v3 Algebraic Geometry

Abstract

We investigate the average number of solutions of certain quadratic congruences. As an application, we establish Manin's conjecture for a cubic surface whose singularity type is A_5+A_1.

Keywords

Cite

@article{arxiv.1205.0373,
  title  = {Quadratic congruences on average and rational points on cubic surfaces},
  author = {Stephan Baier and Ulrich Derenthal},
  journal= {arXiv preprint arXiv:1205.0373},
  year   = {2015}
}

Comments

23 pages

R2 v1 2026-06-21T20:57:32.263Z