The quadric Veronesean V^4,2 in PG(5,q) is characterized as a (q^2+q+1)-cap of class [0,1,2,3,q+1]2 and type (1,q+1,2q+1)4 of PG(5,q) by Ferri (q odd) and Thas and Van Maldeghem (q even). In this note we generalize this result slightly by proving that for a (q^2+q+1)-cap of class [0,1,2,3,q+1]2 and type (1,m,n)4 of PG(5,q), the parameters m and n are uniquely determined and equal q+1 and 2q+1 respectively.
(q^2+q+1)-caps of class [0,1,2,3,q+1]_2 and type (1,m,n)_4 of PG(5,q) are quadric Veroneseans
ZANNETTI, MAURO
2004-01-01
Abstract
The quadric Veronesean V^4,2 in PG(5,q) is characterized as a (q^2+q+1)-cap of class [0,1,2,3,q+1]2 and type (1,q+1,2q+1)4 of PG(5,q) by Ferri (q odd) and Thas and Van Maldeghem (q even). In this note we generalize this result slightly by proving that for a (q^2+q+1)-cap of class [0,1,2,3,q+1]2 and type (1,m,n)4 of PG(5,q), the parameters m and n are uniquely determined and equal q+1 and 2q+1 respectively.File in questo prodotto:
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