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.

#### 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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Utilizza questo identificativo per citare o creare un link a questo documento: `http://hdl.handle.net/11365/11955`