Shult sets and translation ovoids of the Hermitian surface-Reference-Cited by-同舟云学术

Shult sets and translation ovoids of the Hermitian surface

Published:2006-10-01 Issue:4 Volume:6 Page:523-542
ISSN:1615-7168
Container-title:advg
language:en
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Author:

Cossidente A¹,Ebert G. L²,Marino G³,Siciliano A¹

Affiliation:

1. Dipartimento di Matematica, Università degli Studi della Basilicata, 85100 Potenza, Italy.

2. Department of Mathematical Sciences, University of Delaware, Newark, DE 19716, USA.

3. Dipartimento di Matematica e Appl., Università di Napoli “Federico II”, 80126 Napoli, Italy.

Abstract

Abstract Starting with carefully chosen sets of points in the Desarguesian affine 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.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology

Link

https://www.degruyter.com/document/doi/10.1515/ADVGEOM.2006.032/pdf

Reference9 articles.

1. Translation ovoids of flock generalized quadrangles

2. Spreads in H(q) and 1-systems of Q(6,q )

3. On Hermitian Spreads

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