Starting with carefully chosen sets of points in the Desarguesian a‰ne plane AG(2,q^2) 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.

Shult sets and translation ovoids of the Hermitian surface

SICILIANO, Alessandro;COSSIDENTE, Antonio
2006

Abstract

Starting with carefully chosen sets of points in the Desarguesian a‰ne plane AG(2,q^2) 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.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11563/17707
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