A spherical extension theorem and applications in positive characteristic

2020/08/19 by Doowon Koh, Koh, Doowon, Thang V. Pham +1 · 1 citation
Mathematics · Engineering · #Algebraic Geometry and Number Theory #Geometric Analysis and Curvature Flows #Advanced Numerical Analysis Techniques

paper · pdf · doi:10.48550/arxiv.2008.08279

Abstract

In this paper, we prove an extension theorem for spheres of square radii in \mathbbF_q^d, which improves a result obtained by Iosevich and Koh (2010). Our main tool is a new point-hyperplane incidence bound which will be derived via a cone restriction theorem due to the authors and Lee (2022). Applications on the distance problems will also be discussed.

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