English

Counting lines on projective surfaces

Algebraic Geometry 2020-09-08 v2

Abstract

We prove a bound on the number of lines on a smooth degree-d surface in three-dimensional projective space for d3d \geq 3. This bound improves a bound due to Segre and renders some of his arguments rigorous. It is the best known bound for d6d \geq 6.

Keywords

Cite

@article{arxiv.1902.05133,
  title  = {Counting lines on projective surfaces},
  author = {Thomas Bauer and Slawomir Rams},
  journal= {arXiv preprint arXiv:1902.05133},
  year   = {2020}
}
R2 v1 2026-06-23T07:40:25.728Z