On semi-pseudo-ovoids
Journal of Algebraic Combinatorics, Tome 22 (2005) no. 2, pp. 139-149.

Voir la notice de l'article dans Electronic Library of Mathematics

Summary: In this paper we introduce semi-pseudo-ovoids, as generalizations of the semi-ovals and semi-ovoids. Examples of these objects are particular classes of SPG-reguli and some classes of $m$-systems of polar spaces. As an application it is proved that the axioms of pseudo-ovoid $O( n,2 n, q)$ in $PG(4 n - 1, q)$ can be considerably weakened and further a useful and elegant characterization of SPG-reguli with the polar property is given.
Mots-clés : keywords semi-pseudo-ovoid, egg, SPG-regulus, polar property 
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De Winter, S.; Thas, J.A. On semi-pseudo-ovoids. Journal of Algebraic Combinatorics, Tome 22 (2005) no. 2, pp. 139-149. https://geodesic-test.mathdoc.fr/item/JAC_2005__22_2_a4/