Incidence geometry and polynomial expansion over finite fields

2024/08/05 by Arala, Nuno, Chow, Sam · 1 citation
#11B30 #11G25 #11T06 (primary) #51B05 (secondary) #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2408.02518

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.

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