Intersections in projective space. II: Pencils of quadrics

DOI10.1016/S0195-6698(88)80017-9zbMath0644.51006OpenAlexW2007965105MaRDI QIDQ1102537

J. W. P. Hirschfeld, Aiden A. Bruen

Publication date: 1988

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0195-6698(88)80017-9

zbMATH Keywords

pencils of quadrics in projective space

Mathematics Subject Classification ID

Finite ground fields in algebraic geometry (14G15) Combinatorial structures in finite projective spaces (51E20)

Related Items (16)

On a set of lines of \(PG(3,q)\) corresponding to a maximal cap contained in the Klein quadric of \(PG(5,q)\). ⋮ Relative hemisystems on the Hermitian surface ⋮ Conics in Baer subplanes ⋮ Intersections of the Hermitian surface with irreducible quadrics in \(\mathrm{PG}(3,q^2)\), \(q\) odd ⋮ Nonsingular hypercubes and nonintersecting hyperboloids ⋮ On common zeros of a pair of quadratic forms over a finite field ⋮ Semifield planes of order \(q^4\) with kernel \(\mathbb F_{q^2}\) and center \(\mathbb F_q\) ⋮ On codewords in the dual code of classical generalised quadrangles and classical polar spaces ⋮ Blocking semiovals in \(\mathrm{PG}(2,q^2)\), \(q\) odd, admitting \(\mathrm{PGL}(2,q)\) as an automorphism group ⋮ Algebraic Codes and Geometry of Some Classical Generalized Polygons ⋮ Near-MDS codes arising from algebraic curves ⋮ Generalized quadrangles of order \((s,s^2)\). III ⋮ On the largest caps contained in the Klein quadric of \(PG(5,q)\), \(q\) odd ⋮ A new family of relative hemisystems on the Hermitian surface ⋮ Partitions of the Klein Quadric ⋮ Intersections in projective space. I: Combinatorics

Cites Work

• Intersections in projective space. I: Combinatorics
• Nonsingular plane cubic curves over finite fields
• Projective Geometries that are Disjoint Unions of Caps
• Partitioning Projective Geometries into Caps
• Hermitian Configurations in Odd-Dimensional Projective Geometries
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