On ovoids of the generalized quadrangle \(H(3,q^2)\)

DOI10.1007/s00026-021-00538-3zbMath1475.51003OpenAlexW3164016375MaRDI QIDQ2033482

Bart De Bruyn

Publication date: 17 June 2021

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

Full work available at URL: https://doi.org/10.1007/s00026-021-00538-3

zbMATH Keywords

polynomialovoidindicator set(Hermitian) generalized quadrangle\(I\)-map\(I\)-polynomiallocally Hermitian ovoid

Mathematics Subject Classification ID

Generalized quadrangles and generalized polygons in finite geometry (51E12) Polynomials over finite fields (11T06) Combinatorial structures in finite projective spaces (51E20)

Related Items (1)

On semiclassical translation ovoids of \(H(3,q^2)\)

Uses Software

• GAP
• SageMath

Cites Work

• Unnamed Item
• On generalized hexagons of order \((3, t)\) and \((4, t)\) containing a subhexagon
• Problems by the wayside
• Ovoids and fans in the generalized quadrangle Q(4,2)
• Finite generalized quadrangles
• Semi-partial geometries and spreads of classical polar spaces
• Spreads and ovoids in finite generalized quadrangles
• Spreads and a conjecture of Bruck and Bose
• General Galois Geometries
• Indicator Sets, Reguli, and a New Class of Spreads
• Hermitian indicator sets
• Shult sets and translation ovoids of the Hermitian surface
• Finite Nets, I. Numerical Invariants

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