English

On a question of Bourgain about geometric incidences

Combinatorics 2013-12-17 v1

Abstract

Given a set of ss points and a set of n2n^2 lines in three-dimensional Euclidean space such that each line is incident the nn points but no nn lines are coplanar, then we have s=Ω(n11/4)s=\Omega(n^{11/4}). This is the first nontrivial answer to a question recently posed by Jean Bourgain.

Keywords

Cite

@article{arxiv.math/0701392,
  title  = {On a question of Bourgain about geometric incidences},
  author = {Jozsef Solymosi and Csaba D. Toth},
  journal= {arXiv preprint arXiv:math/0701392},
  year   = {2013}
}

Comments

7 pages