Self-dual sets of type (m, n) in projective spaces期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Self-dual sets of type (m, n) in projective spaces

Authors:	Osvaldo Ferri Stefania Ferri Mauro Zannetti

Affiliation:	(1) Dip. di Matematica Pura ed Applicata, Università de LAquila, 67010 Coppito LAquila, Italy;(2) I.T.I.S., Via Acquasanta, 1, 67100 LAquila, Italy;(3) Dipartimento di Ingegneria Elettrica, Università de LAquila, 67040 Monteluco di Roio LAquila, Italy

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 $k in {vartheta_{2s}-q^s, vartheta_{2s}+q^s}$ , are of elliptic and hyperbolic type, respectively. As a corollary we obtain a new characterization of the non-singular elliptic and hyperbolic quadrics.

Keywords:	51E20 05B25
本文献已被 SpringerLink 等数据库收录！