Permutable polarities and a class of ovoids of the Hermitian surface

DOI10.1016/j.ejc.2003.12.005zbMath1059.51007OpenAlexW2056704358MaRDI QIDQ1883615

Antonio Cossidente, Gary L. Ebert

Publication date: 13 October 2004

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2003.12.005

zbMATH Keywords

ovoidsHermitian surfacespermutable polarities

Mathematics Subject Classification ID

Generalized quadrangles and generalized polygons in finite geometry (51E12) Spreads and packing problems in finite geometry (51E23) Blocking sets, ovals, (k)-arcs (51E21)

Related Items

Hyperovals on \(\mathcal H(3,q^2)\), Hyperoval constructions on the Hermitian surface, Blocking sets of Hermitian generalized quadrangles, Ovoids of \(\mathcal{H}(3, q^2)\), \(q\) odd, admitting a group of order \(\frac{(q + 1)^3}{2}\), Commuting polarities and maximal partial ovoids of H(4,q²), Quotients of the Hermitian curve from subgroups of \(\text{PGU}(3,q)\) without fixed points or triangles, New infinite families of hyperovals on \(\mathcal H(3,q^2)\), \(q\) odd, Blocking semiovals in \(\mathrm{PG}(2,q^2)\), \(q\) odd, admitting \(\mathrm{PGL}(2,q)\) as an automorphism group, Some constructions on the Hermitian surface, On multiple blocking sets and blocking semiovals in finite non-Desarguesian planes

Cites Work

• Semi-partial geometries and spreads of classical polar spaces
• Ovoids and spreads of finite classical polar spaces
• Translation ovoids of generalized quadrangles and hexagons
• Spreads and ovoids in finite generalized quadrangles
• Some \(p\)-ranks related to Hermitian varieties
• Transitive ovoids of the Hermitian surface of PG\((3,q ^{2}\)), \(q\) even
• Forme e geometrie hermitiane, con particolare riguardo al caso finito
• Ovoids of the Hermitian surface in odd characteristic
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