A note on rich lines in truly high dimensional sets
Combinatorics
2018-07-10 v2
Abstract
We modify an argument of Hablicsek and Scherr to show that if a collection of points in spans many --rich lines, then many of these lines must lie in a common --flat. This is closely related to a previous result of Dvir and Gopi.
Cite
@article{arxiv.1503.01729,
title = {A note on rich lines in truly high dimensional sets},
author = {Joshua Zahl},
journal= {arXiv preprint arXiv:1503.01729},
year = {2018}
}
Comments
10 pages, 0 figures. Accepted for publication in FoM, Sigma