Work

Sphere intersections and incidences over finite fields

Year: 2025

Type: preprint

Abstract: We bound the number of incidences between points and spheres in finite vector spaces by bounding the sum of the number of points in the pairwise intersections of the spheres. We obtain new incidence bounds that are interesting when the number of spheres is not too large. Our approach also leads to an elementary proof of the Iosevich-Rudnev bound on the Erdős-Falconer distance problem in odd dimensions.

Source: arXiv (Cornell University)

Authors: Koh, Doowon, Lund, Ben, Xu, Chuandong, Yoo, Semin

Institutions: Chungbuk National University, Xidian University, Institute for Basic Science

Language: English

Topic: Limits and Structures in Graph Theory

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Research Foundation, National Research Foundation of Korea, Institute for Basic Science, Ministry of Science and ICT, South Korea

Awards: G1938303756, G3820866694

OpenAlex ID: W7084447814

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