Unitals with many Baer secants through a fixed point

Sara Rottey, Geertrui Van de Voorde

We show that a unital $U$ in $\mathrm{PG}(2,q^2)$ containing a point $P$, such that at least $q^2-\epsilon$ of the secant lines through $P$ intersect $U$ in a Baer subline, is an ovoidal…