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- W1539183228 abstract "This thesis concerns with slices of the unitary spread and of the unitary ovoid. The unitary spread and the unitary ovoid are geometric objects contained in the hyperbolic quadric Q+(7,q), if q equiv 2 (mod 3) and in the parabolicquadric Q(6; q), if q equiv 0 (mod 3); these were introduced by W.M. Kantor in [14] and J.A. Thas in [22]. A slice of a spread (of an ovoid) of an orthogonal polar space is the intersection of the spread (of the ovoid) with a hyperplane of the relevant projective space. In this work, it is proved that the slices of the unitary spread of Q+(7,q) q equiv 2 (mod 3) can be divided into five classes. Slices belonging to different classes are inequivalent with respect to the action of the subgroup of PGammaO+(8; q)fixing the unitary spread. When q is even, there is a connection between spreads of Q+(7,q) and symplectic spreads of PG(5,q)originally pointed out by Dillon [7] and Dye [8]." @default.
- W1539183228 created "2016-06-24" @default.
- W1539183228 creator A5026581269 @default.
- W1539183228 date "2009-11-30" @default.
- W1539183228 modified "2023-09-23" @default.
- W1539183228 title "Ovoids and spreads of Q+(7,q)" @default.
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- W1539183228 doi "https://doi.org/10.6092/unina/fedoa/4221" @default.
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