A subset of the Hermitian surface

In this paper we define a ruled algebraic surface of $PG (3, q^{2})$ , called a hyperbolic $Q_{ℱ}$ -set and we prove that it is contained in the Hermitian surface of $PG (3, q^{2})$ . Also, we characterise a hyperbolic $Q_{ℱ}$ -set as the intersection of two Hermitian surfaces.

Keywords

Hermitian surface, collineation

Mathematical Subject Classification 2000

Primary: 05B25, 51E20

Milestones

Received: 22 August 2005

Accepted: 15 May 2006

Authors

Giorgio Donati


Nicola Durante

Vol. 3, No. 1, 2006

Giorgio Donati and Nicola Durante

Abstract

Keywords

Mathematical Subject Classification 2000

Milestones

Authors