Nonexistence of ovoids in \(\Omega^+(10,3)\)

DOI10.1016/0097-3165(89)90050-2zbMath0683.51004OpenAlexW327519055MaRDI QIDQ1824858

Ernest E. Shult

Publication date: 1989

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(89)90050-2

zbMATH Keywords

ovoidpolar space

Mathematics Subject Classification ID

Combinatorial structures in finite projective spaces (51E20) Incidence structures embeddable into projective geometries (51A45) Other finite incidence structures (geometric aspects) (51E30)

Related Items

\(m\)-systems of polar spaces, Ovoids of the quadric Q\((2n,q)\), Some \(p\)-ranks related to orthogonal spaces, On incidence structures of nonsingular points and hyperbolic lines of ovoids in finite orthogonal spaces, Characterization results on small blocking sets of the polar spaces \(Q^+(2n+1,2)\) and \(Q^+(2n+1,3)\), Two-graphs and skew two-graphs in finite geometries, Symplectic spreads in \(PG(3,q)\), inversive planes and projective planes, The eight dimensional ovoids over GF(5), Partial ovoids and partial spreads in symplectic and orthogonal polar spaces, On the smallest minimal blocking sets of \(Q(2n,q)\), for \(q\) an odd prime, A classification of transitive ovoids, spreads, and m-systems of polar spaces, Ovoids and spreads of the generalized hexagon \(\mathbf H(3)\)

Cites Work

• Unnamed Item
• Ovoids and spreads of finite classical polar spaces
• A four-dimensional Kerdock set over GF(3)
• Spreads, Translation Planes and Kerdock Sets. II
• Ovoids and Translation Planes