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A Cossidente, G. L Ebert, G Marino, A Siciliano

Shult sets and translation ovoids of the Hermitian surface

Keywords: Hermitian surface, translation ovoid

Starting with carefully chosen sets of points in the Desarguesian affine plane AG(2; q²) and using an idea first formulated by E. Shult, several infinite families of translation ovoids of the Hermitian surface are constructed. Various connections with locally Hermitian 1-spreads of 𝒬⁻(5, q) and semifield spreads of PG(3, q) are also discussed. Finally, geometric characterization results are developed for the translation ovoids arising in the so-called classical and semiclassical settings.

Advances in Geometry, Walter de Gruyter

Print ISSN: 1615-715X
Volume: 6, 10/2006
Pages: 523 - 542

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