In this note we prove that a set of class [1,q+1,2q+1]_2 in PG(3,q) is either a line, or an ovoid, or a (q^2+q+1)-set of type (1,q+1,2q+1)_2 or a (q+1)^2-set of type (q+1,2q+1)_2, or a unique, up to projective equivalence, sporadic 19-set of type (1,4,7) in PG(3,3).
On sets of class [1,q+1,2q+1]_2 in PG(3,q)
STEFANO INNAMORATI;FULVIO ZUANNI
2018-01-01
Abstract
In this note we prove that a set of class [1,q+1,2q+1]_2 in PG(3,q) is either a line, or an ovoid, or a (q^2+q+1)-set of type (1,q+1,2q+1)_2 or a (q+1)^2-set of type (q+1,2q+1)_2, or a unique, up to projective equivalence, sporadic 19-set of type (1,4,7) in PG(3,3).File in questo prodotto:
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