Publication

Incidences Between Planes Over Finite Fields

Van Thang Pham
2019
Journal Articles

Abstract

In this note, we use methods from spectral graph theory to obtain bounds on the number of incidences between k-planes and h-planes in F-q(d), which generalizes a recent result given by Bennett, Iosevich, and Pakianathan (2014). More precisely, we prove that the number of incidences between a set K of k-planes and a set H of h-planes with h >= 2k + 1, which is denoted by I(K, H), satisfies

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Incidences Between Planes Over Finite Fields

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