On Hermitian Spreads

Cardinali, Ilaria; Trombetti, Rocco

Bull. Belg. Math. Soc. Simon Stevin, Tome 11 (2004) no. 1, p. 63-67 / Harvested from Project Euclid

Résumé

Let $\perp$ be the polarity of $PG(5,q)$ defined by the elliptic quadric $Q^-(5,q)$. A locally Hermitian spread ${\cal S}$ of $Q^-(5,q)$, with respect to a line $L$, is associated in a canonical way with a spread ${\cal S}_{\Lambda}$ of the $3$-dimensional projective space $L^{\perp} = \Lambda$, and conversely. In this paper we give a geometric characterization of the regular spreads of $\Lambda$ which induce Hermitian spreads of $Q^-(5,q)$.

Publié le : 2004-03-14
Classification: Hermitian spreads, ovoid, 51E20

@article{1080056160,
     author = {Cardinali, Ilaria and Trombetti, Rocco},
     title = {On Hermitian Spreads},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {11},
     number = {1},
     year = {2004},
     pages = { 63-67},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1080056160}
}

Cardinali, Ilaria; Trombetti, Rocco. On Hermitian Spreads. Bull. Belg. Math. Soc. Simon Stevin, Tome 11 (2004) no. 1, pp.  63-67. http://gdmltest.u-ga.fr/item/1080056160/