Ovals and Hyperovals in Desarguesian Nets
arXiv:math/0202115
Abstract
We determine the Desarguesian planes which hold -nets with ovals and those which hold -nets with hyperovals for every .
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