On the non--existence of certain hyperovals in dual André planes of order $2^{2h}$

Abstract

No regular hyperoval of the Desarguesian affine plane $AG(2,2^{2h})$, with $h>1$, is inherited by a dual André plane of order $2^{2h}$ with dimension 2 over its centre.

arXiv comment6 pages; reviewed version with generalisation to some dual André planes, as well as updated proofs