2019/06/04 by S. G. Barwick, Barwick, S. G., Wen‐Ai Jackson +3
Computer Science · Mathematics · #Advanced Algebra and Geometry #Coding theory and cryptography #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research
paper · pdf · doi:10.48550/arxiv.1906.03296
openalex publication_date 2019/06/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This article studies conics and subconics of PG(2,q2) and their representation in the André/Bruck-Bose setting in PG(4,q). In particular, we investigate their relationship with the transversal lines of the regular spread. The main result is to show that a conic in a tangent Baer subplane of PG(2,q2) corresponds in PG(4,q) to a normal rational curve that meets the transversal lines of the regular spread. Conversely, every 3 and 4-dimensional normal rational curve in PG(4,q) that meets the transversal lines of the regular spread corresponds to a conic in a tangent Baer subplane of PG(2,q2).