A characterization of the external lines of a hyperoval cone in PG(\(3, q)\), \(q\) even

DOI10.1016/J.DISC.2010.10.025zbMath1205.14065OpenAlexW2008820748MaRDI QIDQ626760

Mauro Zannetti

Publication date: 18 February 2011

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2010.10.025

zbMATH Keywords

projective spacehyperoval conecombinatorial characterization

Mathematics Subject Classification ID

Projective techniques in algebraic geometry (14N05) Classical problems, Schubert calculus (14N15)

Related Items (5)

Three different names of a 15 - set of type (3, 6)₂ in PG(3, 3) ⋮ A characterization of the external lines of a hyperoval in PG\((3,q),q\) even ⋮ A characterization of the family of secant lines to a hyperbolic quadric in \(\mathrm{PG} ( 3 , q )\), \(q\) odd ⋮ Non-existence of sets of type \((0, 1, 2 , n_{d})_{d}\) in \(\mathrm{PG}({r,q})\) with \( 3 \leq d\leq r- 1 \) and \(r\geq 4\) ⋮ Two characterizations of the family of secant lines of an ovoid of \(\mathrm{PG}(3,q)\)

Cites Work

• A characterization of the family of secant or external lines of an ovoid of \(\mathrm{PG}(3,q)\)
• A characterisation of the lines external to an oval cone in \(PG(3,q),q\) even
• The Geometry on Grassmann Manifolds Representing Subspaces in A Galois Space
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