Incidence geometry and polynomial expansion over finite fields

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Authors

Nuno Arala · Barmherzige Schwestern vom heiligen Kreuz

Abstract

We use spectral theory and algebraic geometry to establish a higher-degree analogue of a Szemerédi–Trotter-type theorem over finite fields, with an application to polynomial expansion.

Topics & Keywords

Computability, Logic, AI Algorithms Coding theory and cryptography Advanced Topology and Set Theory

Publication Details

Published in: Proceedings of the Royal Society of Edinburgh Section A Mathematics

DOI: 10.1017/prm.2026.10130

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Incidence geometry and polynomial expansion over finite fields

Authors

Abstract

Topics & Keywords

Publication Details