A Geometric Construction for Some Ovoids of the Hermitian Surface

Abstract.

Multiple derivation of the classical ovoid of the Hermitian surface $\mathcal{H}(3,q^2)$ of $PG(3,q^2)$ is a well known, powerful method for constructing large families of non classical ovoids of $\mathcal{H}(3,q^2)$. In this paper, we shall provide a geometric costruction of a family of ovoids amenable to multiple derivation.