English

Sharp Szemer\'edi-Trotter Constructions in the Plane

Combinatorics 2021-12-02 v1 Classical Analysis and ODEs

Abstract

We present a new family of sharp examples for the Szemer\'edi-Trotter theorem. These are the first examples not based on a rectangular lattice. We also include an application to the discrete inverse Loomis-Whitney problem.

Keywords

Cite

@article{arxiv.2112.00306,
  title  = {Sharp Szemer\'edi-Trotter Constructions in the Plane},
  author = {Larry Guth and Olivine Silier},
  journal= {arXiv preprint arXiv:2112.00306},
  year   = {2021}
}

Comments

9 pages

R2 v1 2026-06-24T07:59:09.436Z