Let ⊥ be the polarity of PG(5, q) defined by the elliptic quadric Q- (5, q). A locally Hermitian spread S of Q- (5, q), with respect to a line L, is associated in a canonical way with a spread S ℬ of the 3-dimensional projective space L⊥ = Λ, and conversely. In this paper we give a geometric characterization of the regular spreads of Λ which induce Hermitian spreads of Q- (5, q).
Let perpendicular to be the polarity of PG(5, q) defined by the elliptic quadric Q(-) (5, q). A locally Hermitian spread S of Q(-) (5, q), with respect to a line L, is associated in a canonical way with a spread S-Lambda of the 3-dimensional projective space L-perpendicular to = Lambda, and conversely. In this paper we give a geometric charaterization of the regular spreads of Lambda which induce Hermitian spreads of Q(-) (5, q).
Cardinali, I., Trombetti, R. (2004). On Hermitian spreads. BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY SIMON STEVIN, 11(1), 63-67 [10.36045/bbms/1080056160].
On Hermitian spreads
Cardinali I.;
2004-01-01
Abstract
Let perpendicular to be the polarity of PG(5, q) defined by the elliptic quadric Q(-) (5, q). A locally Hermitian spread S of Q(-) (5, q), with respect to a line L, is associated in a canonical way with a spread S-Lambda of the 3-dimensional projective space L-perpendicular to = Lambda, and conversely. In this paper we give a geometric charaterization of the regular spreads of Lambda which induce Hermitian spreads of Q(-) (5, q).
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https://hdl.handle.net/11365/11955
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