Multi-parameter Szemer\'{e}di-Trotter-type theorems and applications in finite fields
Combinatorics
2023-08-08 v2
Abstract
We prove some novel multi-parameter point-line incidence estimates in vector spaces over finite fields. While these could be seen as special cases of higher-dimensional incidence results, they outperform their more general counterparts in those contexts. We go on to present a number of applications to illustrate their use in combinatorial problems from geometry and number theory.
Cite
@article{arxiv.2307.05058,
title = {Multi-parameter Szemer\'{e}di-Trotter-type theorems and applications in finite fields},
author = {Hung Le and Steven Senger and Minh-Quan Vo},
journal= {arXiv preprint arXiv:2307.05058},
year = {2023}
}