Intersections of Nonclassical Unitals and Conics in $\mathrm{PG}(2,q^2)$

Abstract

In $\mathrm{PG}(2,q^2)$ with $q>2$, we determine the possible intersections of a nonclassical Buekenhout–Metz unital $\mathcal U$ and a conic passing through the point at infinity of $\mathcal U$.