2000/12/21 by Metod Saniga, Метод Санига, Saniga, Metod
Computer Science · Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Polynomial and algebraic computation #math.AG
paper · pdf · doi:10.48550/arxiv.math/0012214
2 pages, no figures
arxiv created 2000/12/21 · openalex publication_date 2000/12/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The pencil of conics featuring three degenerate conics each of which is a line-pair is briefly inspected in a Galois field of characteristic two. It is shown that if two degenerates are conjugate imaginary line pairs, the third must be a real line pair; this contradicts Campbell's claim (Campbell 1927) that all the three singular conics are conjugate imaginary line pairs.