Hyperovals of \(H(3,q^2)\) when \(q\) is even

DOI10.1016/j.jcta.2013.03.003zbMath1283.51004arXiv1211.3649OpenAlexW2591660374MaRDI QIDQ388186

Antonio Cossidente, Oliver H. King, Giuseppe Marino

Publication date: 19 December 2013

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

Full work available at URL: https://arxiv.org/abs/1211.3649

zbMATH Keywords

Hermitian surfacehyperovalsymplectic subquadrangle

Mathematics Subject Classification ID

Blocking sets, ovals, (k)-arcs (51E21)

Related Items (7)

Classification Results for Hyperovals of Generalized Quadrangles ⋮ Hyperovals on \(\mathcal{H}(3,q^2)\) left invariant by a group of order \(6(q+1)^3\) ⋮ Hyperoval constructions on the Hermitian surface ⋮ Hyperovals arising from a Singer group action on \(\mathcal{H}(3, q^2)\), \(q\) even ⋮ On hyperovals of polar Grassmannians ⋮ New infinite families of hyperovals on \(\mathcal H(3,q^2)\), \(q\) odd ⋮ The homogeneous pseudo-embeddings and hyperovals of the generalized quadrangle \(H(3,4)\)

Uses Software

• Magma

Cites Work

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• Relative hemisystems on the Hermitian surface
• Hyperovals of Hermitian polar spaces
• Locally polar spaces and related rank 3 groups
• Tight sets and \(m\)-ovoids of generalised quadrangles
• Hyperovals on \(\mathcal H(3,q^2)\)
• On \(m\)-ovoids of \({\mathcal W}_3 (q)\)
• Forme e geometrie hermitiane, con particolare riguardo al caso finito
• On hyperovals of polar spaces
• Extensions of GQ(4,2), the description of hyperovals
• The Action of the Group, q Even, and Related Combinatorial Structures

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