Lax embeddings of the Hermitian unital
In this paper, we prove that every lax generalized Veronesean embedding of the Hermitian unital of a quadratic extension of the field and , in a , with any field and d a parts per thousand yen 7, such that disjoint blocks span disjoint subspaces, is the standard Veronesean embedding in a subgeometry of (and d = 7) or it consists of the projection from a point of from a subgeometry of into a hyperplane . In order to do so, when we strongly use the linear representation of the affine part of (the line at infinity being secant) as the affine part of the generalized quadrangle (the solid at infinity being non-singular); when , we use the connection of with the generalized hexagon of order 2.
lax embedding hermitian unital standard veronesean embedding