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
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
In \(PG(3,P^{2^h}),\) 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
Citation
Stefano Innamorati , Mauro Zannetti. 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[J], Journal of Combinatorial Mathematics and Combinatorial Computing, Volume 110. -. DOI: .
