Self-dual sets of type (m, n) in projective spaces |
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Authors: | Osvaldo Ferri Stefania Ferri Mauro Zannetti |
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Affiliation: | (1) Dip. di Matematica Pura ed Applicata, Università de L Aquila, 67010 Coppito L Aquila, Italy;(2) I.T.I.S., Via Acquasanta, 1, 67100 L Aquila, Italy;(3) Dipartimento di Ingegneria Elettrica, Università de L Aquila, 67040 Monteluco di Roio L Aquila, Italy |
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Abstract: | In this paper we introduce and analyze the notion of self-dual k-sets of type (m, n). We show that in a non-square order projective space such sets existonly if the dimension is odd. We prove that, in a projective space of odd dimension and order q, self-dual k-sets of type (m, n), with , are of elliptic and hyperbolic type, respectively. As a corollary we obtain a new characterization of the non-singular elliptic and hyperbolic quadrics. |
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Keywords: | 51E20 05B25 |
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