A characterization of quadrics by intersection numbers

DOI10.1007/s10623-007-9109-yzbMath1201.51013OpenAlexW1979118192MaRDI QIDQ1009004

Jeroen Schillewaert

Publication date: 31 March 2009

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

Full work available at URL: https://doi.org/10.1007/s10623-007-9109-y

zbMATH Keywords

quadricspolar spacearcs and capsShult space

Mathematics Subject Classification ID

Combinatorial structures in finite projective spaces (51E20)

Related Items (10)

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 \(\mathrm{PG}(r, q)\), \(r\ge 3\)] ⋮ Characterising elliptic solids of \(q ( 4 , q )\), \(q\) even ⋮ On sets of type \((q + 1, n)_{2}\) in finite three-dimensional projective spaces ⋮ Characterizations of finite classical polar spaces by intersection numbers with hyperplanes and spaces of codimension 2 ⋮ A characterization of the Hermitian variety in finite 3-dimensional projective spaces ⋮ Note on a class of subsets of \(\mathrm{AG}(3, q)\) with intersection numbers \(1\), \(q\) and \(n\) with respect to the planes ⋮ Characterising hyperbolic hyperplanes of a non-singular quadric in \(\mathrm{PG}(4,q)\) ⋮ Characterising the secant lines of \(Q(4,q), q\) even ⋮ Recognizing sets of generators in finite polar spaces

Cites Work

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• Generalized quadrangles in projective spaces
• Buildings of spherical type and finite BN-pairs
• On the foundations of polar geometry
• A characterization of flat spaces in a finite geometry and the uniqueness of the hamming and the MacDonald codes

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