par Schillewaert, Jeroen ;Thas, Joseph Adolphe;van Maldeghem, Hendrik
Référence Annals of combinatorics, 16, 2, page (331-348)
Publication Publié, 2012-06
Article révisé par les pairs
Résumé : A combinatorial characterization of the Veronese variety of all quadrics in PG(n, q) by means of its intersection properties with respect to subspaces is obtained. The result relies on a similar combinatorial result on the Veronesean of all conics in the plane PG(2, q) by Ferri [Atti Accad. Naz. Lincei Rend. 61(6), 603-610 (1976)], Hirschfeld and Thas [General Galois Geometries. Oxford University Press, New York (1991)], and Thas and Van Maldeghem [European J. Combin. 25(2), 275-285 (2004)], and a structural characterization of the quadric Veronesean by Thas and Van Maldeghem [Q. J. Math. 55(1), 99-113 (2004)]. © 2012 Springer Basel AG.