Bourgain-type projection theorems over finite fields

Fuente: arXiv
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Main Author: Rose, Alex
Format: Preprint
Published: 2025
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author Rose, Alex
author_facet Rose, Alex
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2511_08757
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Bourgain-type projection theorems over finite fields
Rose, Alex
Classical Analysis and ODEs
Combinatorics
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.
title Bourgain-type projection theorems over finite fields
topic Classical Analysis and ODEs
Combinatorics
url https://arxiv.org/abs/2511.08757