External points to a conic from a Baer subplane

2021/04/26 by Vincenzo Pallozzi Lavorante, Lavorante, Vincenzo Pallozzi
Computer Science · Mathematics · #14G05 #14H50(Primary) 14H20 (Secondary) #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #Computational Geometry and Mesh Generation #FOS: Mathematics #Mathematics and Applications #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.2104.12434

openalex publication_date 2021/04/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For an irreducible conic \mathcal C in a Desarguesian plane of odd square order, estimating the number of points from a Baer subplane which are external to \mathcal C is a natural problem. In this paper, a complete list of possibilities is determined for the case where \mathcal C shares at least one point with the subplane.

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