Quasi--Hermitian varieties in PG(r,q^2), q even

摘要

In this paper a new example of quasi--Hermitian variety $cV$ in $PG(r,q^2)$, $q$ an odd power of $2$, is provided. In higher-dimensional spaces $cV$ can be viewed as a generalization of the Buekenhout-Tits unital in the desarguesian projective plane; see cite{GE2}.