Geodesic
Desarguesian and unitary complete partial ovoids
Journal of Algebraic Combinatorics, Tome 37 (2013) no. 3, pp. 503-522.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: The Desarguesian and Unitary ovoids of $\mathcal{Q}^{+}(7,q)$ are contained in a subvariety of the Grassmannian. We generalize this result, obtaining two families of complete partial ovoids of polar spaces: the first, with stabilizer PGL (2,q $^{ t }$) and including the family constructed by A. Cossidente and O.H. King for even q, and the second, with stabilizers contained in PGU (r,q).
Keywords: polar space, quadric, complete partial ovoid, twisted tensor embedding, Grassmannian 
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     title = {Desarguesian and unitary complete partial ovoids},
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     url = {http://geodesic.mathdoc.fr/item/JAC_2013__37_3_a3/}
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Pepe, Valentina. Desarguesian and unitary complete partial ovoids. Journal of Algebraic Combinatorics, Tome 37 (2013) no. 3, pp. 503-522. http://geodesic.mathdoc.fr/item/JAC_2013__37_3_a3/