Let $\perp$ 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 of the 3-dimensional projective space $L^{\perp}=S$, and conversely. In this paper we give a geometric characterization of the regular spreads of S which induce Hermitian spreads of Q-(5, q).
Cardinali, I., Trombetti, (2004). On Hermitian spreads. BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY SIMON STEVIN, 11, 63-67.
On Hermitian spreads
CARDINALI, ILARIA;
2004-01-01
Abstract
Let $\perp$ 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 of the 3-dimensional projective space $L^{\perp}=S$, and conversely. In this paper we give a geometric characterization of the regular spreads of S which induce Hermitian spreads of Q-(5, q).
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https://hdl.handle.net/11365/11955
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