On properties of geometry of type dn, k

الملخص EN

In this paper we present a general case of the class of geometries Dn,2, Dn, 3 and Dn,4 that is a point-line geometry of type Dn, k(F) where k?2, n?k + 3 and F is a field.

We define the varieties of the geometry and we prove that the geometry is a parapolar with diameter k + 1.

The properties related to the relations between the varieties will be investigated.