Incidence geometry and polynomial expansion over finite fields
Combinatorics
2026-02-25 v1 Number Theory
Abstract
We use spectral theory and algebraic geometry to establish a higher-degree analogue of a Szemer\'edi--Trotter-type theorem over finite fields, with an application to polynomial expansion.
Cite
@article{arxiv.2408.02518,
title = {Incidence geometry and polynomial expansion over finite fields},
author = {Nuno Arala and Sam Chow},
journal= {arXiv preprint arXiv:2408.02518},
year = {2026}
}