Hermitian indicator sets

Author:

Cossidente A1,Lunardon G2,Marino G2,Polverino O3

Affiliation:

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

2. Dip. di Matematica e Applicazioni, Università di Napoli “Federico II”, 80126 Napoli, Italy.

3. Dip. di Matematica, Seconda Università degli Studi di Napoli, 81100 Caserta, Italy.

Abstract

Abstract Indicator sets arising from symplectic line-spreads of a 3-dimensional projective space are characterized. Moreover, locally Hermitian ovoids of a Hermitian surface (3, q 2) are studied in terms of “non-equivalent” associated indicator sets. Translation locally Hermitian ovoids of (3, q 2) arising from regular spreads of PG(3, q), Kantor semifield spreads of PG(3, q) and semifield spreads of PG(3, q) with center are also investigated.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On Semiclassical Translation Ovoids of $$H(3,q^2)$$;Results in Mathematics;2021-11-15

2. On Ovoids of the Generalized Quadrangle $$H(3,q^2)$$;Annals of Combinatorics;2021-05-20

3. Translation ovoids of unitary polar spaces;Advances in Geometry;2014-03-01

4. Linear sets in finite projective spaces;Discrete Mathematics;2010-11

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