Abstract
Let be a Desarguesian -spread of , a -dimensional subspace of and the linear set consisting of the elements of with non-empty intersection with . It is known that the Plücker embedding of the elements of is a variety of , say . In this paper, we describe the image under the Plücker embedding of the elements of and we show that it is an –dimensional algebraic variety, projection of a Veronese variety of dimension and degree , and it is a suitable linear section of .
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