Ovals and Hyperovals in Desarguesian Nets
Combinatorics
2007-05-23 v2
Abstract
We determine the Desarguesian planes which hold -nets with ovals and those which hold -nets with hyperovals for every .
Cite
@article{arxiv.math/0202115,
title = {Ovals and Hyperovals in Desarguesian Nets},
author = {David A. Drake and Kevin Keating},
journal= {arXiv preprint arXiv:math/0202115},
year = {2007}
}
Comments
21 pages, LaTeX. We have added a three-page section 6 (with non-existence results). We have also made explicit that ovals of Desarguesian nets are ``affinely equivalent'' under certain assumptions