A Note on a Specific Pencil of Conics in the Galois Fields of Order 2^n
Algebraic Geometry
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.math/0012214,
title = {A Note on a Specific Pencil of Conics in the Galois Fields of Order 2^n},
author = {Metod Saniga},
journal= {arXiv preprint arXiv:math/0012214},
year = {2007}
}
Comments
2 pages, no figures