In $PG (3,q),\, q=p^h$ a prime power and $h$ having no odd factor, any $(q^2+1)$-set of class $[0,m,n]_1$ in an ovoid and any $(q^2+q+1)$ set of class $[1,m,n]$ containing at least two lines is either a plane or a cone projecting an oval from a point

Innamorati , Stefano; Zannetti, Mauro

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Journal of Combinatorial Mathematics and Combinatorial Computing

Volume 110
Pages: 103-108

Research article

In $P G (3, q), q = p^{h}$ a prime power and $h$ having no odd factor, any $(q^{2} + 1)$ -set of class $[0, m, n]_{1}$ in an ovoid and any $(q^{2} + q + 1)$ set of class $[1, m, n]$ containing at least two lines is either a plane or a cone projecting an oval from a point

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¹Department of Industrial and Information Engineering and of Economics University of L’Aquila piazzale Emesto Pontieri, 1 Monteluco di Roio I-67100 L’Aquila Italy

Published: 30/09/2019

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Abstract

In $P G (3, P^{2^{h}}),$ ovoids and cones projecting an oval from a point are characterized as three character sets with respect to lines and planes, respectively.

Keywords: Sets of class

[0, m, n]

Sets of class

[1. m . n]_{2}

Three character sets. Ovoids Cones

Contents

Journal of Combinatorial Mathematics and Combinatorial Computing

In $P G (3, q), q = p^{h}$ a prime power and $h$ having no odd factor, any $(q^{2} + 1)$ -set of class $[0, m, n]_{1}$ in an ovoid and any $(q^{2} + q + 1)$ set of class $[1, m, n]$ containing at least two lines is either a plane or a cone projecting an oval from a point

Abstract

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Contents

Journal of Combinatorial Mathematics and Combinatorial Computing

In PG(3,q),q=ph a prime power and h having no odd factor, any (q2+1)-set of class [0,m,n]1 in an ovoid and any (q2+q+1) set of class [1,m,n] containing at least two lines is either a plane or a cone projecting an oval from a point

Abstract

Information

Guidelines

CP Initiatives

Follow CP

In $P G (3, q), q = p^{h}$ a prime power and $h$ having no odd factor, any $(q^{2} + 1)$ -set of class $[0, m, n]_{1}$ in an ovoid and any $(q^{2} + q + 1)$ set of class $[1, m, n]$ containing at least two lines is either a plane or a cone projecting an oval from a point