Characterising hyperbolic hyperplanes of a non-singular quadric in \(\mathrm{PG}(4,q)\)

DOI10.1007/s10623-019-00669-yzbMath1430.51010arXiv1906.04932OpenAlexW3105445479MaRDI QIDQ2285771

Alice M. W. Hui, Wen-Ai Jackson, Jeroen Schillewaert, Susan G. Barwick

Publication date: 9 January 2020

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.04932

zbMATH Keywords

hyperplanesprojective geometryquadrics

Mathematics Subject Classification ID

Combinatorial structures in finite projective spaces (51E20)

Related Items (6)

Note on the ascent of incidence class of projective sets ⋮ Classifying sets of class \([1,q+1,2q+1,q^2+q+1_2\) in \(\mathrm{PG}(r, q)\), \(r\ge 3\)] ⋮ A characterization of the planes meeting a hyperbolic quadric of $\PG(3,q)$ in a conic ⋮ Characterising elliptic solids of \(q ( 4 , q )\), \(q\) even ⋮ Characterising the secant lines of \(Q(4,q), q\) even ⋮ Characterising elliptic and hyperbolic hyperplanes of the parabolic quadric \(\mathcal{Q}(2n, q)\)

Cites Work

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• Characterizations of finite classical polar spaces by intersection numbers with hyperplanes and spaces of codimension 2
• Sulle \(k\)-calotte di uno spazio lineare finito
• A characterization of quadrics by intersection numbers
• Tangential Tallini sets in finite Grassmannians of lines
• A characterisation of the planes meeting a non-singular quadric of \(\mathrm{PG}(4,q)\) in a conic
• Ensembles quadratiques des espaces projectifs
• General Galois Geometries

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