Sharp density bounds on the finite field Kakeya problem
Combinatorics
2021-12-14 v2
Abstract
A Kakeya set in is a set containing a line in every direction. We show that every Kakeya set in has density at least , matching the construction by Dvir, Kopparty, Saraf and Sudan.
Keywords
Cite
@article{arxiv.2108.00074,
title = {Sharp density bounds on the finite field Kakeya problem},
author = {Boris Bukh and Ting-Wei Chao},
journal= {arXiv preprint arXiv:2108.00074},
year = {2021}
}
Comments
9 pages, 1 figure