Bourgain-type projection theorems over finite fields
Classical Analysis and ODEs
2026-04-16 v2 Combinatorics
Abstract
We prove finite-field analogs of Bourgain's projection theorem in higher dimensions. In particular, for a certain range of parameters we improve on an exceptional set estimate by Chen in all dimensions and codimensions.
Cite
@article{arxiv.2511.08757,
title = {Bourgain-type projection theorems over finite fields},
author = {Alex Rose},
journal= {arXiv preprint arXiv:2511.08757},
year = {2026}
}
Comments
15 pages, references expanded