In 1982 Bichara and Mazzocca characterized the Grassmann space Gr(1,A) of the lines of an affine space A of dimension at least 3 by means of the intersection properties of the three disjoint families S, S' and T of maximal singular subspaces of Gr(1,A). In this paper we deal with the characterization of Gr(1,A) using only the families S and S' of maximal singular subspaces.

On the Grassmann space representing the lines of an affine space

DI GENNARO, Roberta;
2012

Abstract

In 1982 Bichara and Mazzocca characterized the Grassmann space Gr(1,A) of the lines of an affine space A of dimension at least 3 by means of the intersection properties of the three disjoint families S, S' and T of maximal singular subspaces of Gr(1,A). In this paper we deal with the characterization of Gr(1,A) using only the families S and S' of maximal singular subspaces.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11367/23872
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