An incidence theorem in higher dimensions
Combinatorics
2017-03-17 v6 Algebraic Geometry
Abstract
We prove almost tight bounds on incidences between points and -dimensional varieties of bounded degree in . Our main tools are the Polynomial Ham Sandwich Theorem and induction on both the dimension and the number of points.
Cite
@article{arxiv.1103.2926,
title = {An incidence theorem in higher dimensions},
author = {Jozsef Solymosi and Terence Tao},
journal= {arXiv preprint arXiv:1103.2926},
year = {2017}
}
Comments
26 pages, no figures. A gap in the proof of Proposition 4.4 has been repaired