Abstract
The variety V r , t is the image under the Grassmannian map of the ( t − 1 ) -subspaces of PG ( r t − 1 , q ) of the elements of a Desarguesian spread. We investigate some properties of this variety, with particular attention to the case r = 2 : in this case we prove that every t + 1 points of the variety are in general position and we give a new interpretation of linear sets of PG ( 1 , q t ) .
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