Intriguing sets of quadrics in \(\mathrm{PG}(5, q)\)

DOI10.1515/advgeom-2017-0009zbMath1383.05038OpenAlexW2737954245MaRDI QIDQ1707401

Antonio Cossidente, Francesco Pavese

Publication date: 29 March 2018

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/advgeom-2017-0009

zbMATH Keywords

strongly regular graphHermitian surfacequadricspartial quadranglehemisystemCameron-Liebler line classintriguing sets

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Generalized quadrangles and generalized polygons in finite geometry (51E12) Combinatorial aspects of finite geometries (05B25)

Related Items (15)

Packings of partial difference sets ⋮ Cyclic arcs of Singer type and strongly regular Cayley graphs over finite fields ⋮ New hemisystems of the Hermitian surface ⋮ A modular equality for m$m$‐ovoids of elliptic quadrics ⋮ New Cameron-Liebler line classes with parameter \(\frac{q^2+1}{2}\) ⋮ On tight sets of hyperbolic quadrics ⋮ Hemisystems of the Hermitian surface ⋮ On the geometry of the Hermitian Veronese curve and its quasi-Hermitian surfaces ⋮ On intriguing sets in five classes of strongly regular graphs ⋮ Some non-existence results on \(m\)-ovoids in classical polar spaces ⋮ Cameron-Liebler line classes with parameter \(x = \frac{ ( q + 1 )^2}{ 3} \) ⋮ Perfect 2-colorings of the Grassmann graph of planes ⋮ An infinite family of \(m\)-ovoids of \(Q(4,q)\) ⋮ On regular systems of finite classical polar spaces ⋮ Cameron-Liebler line classes of \(\mathrm{PG}(3,q\)) admitting \(\mathrm{PGL}(2,q\))

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A new family of tight sets in \(\mathcal Q^+(5,q)\)
• A modular equality for Cameron-Liebler line classes
• Cameron-Liebler line classes in PG(3,q)
• A hemisystem of a nonclassical generalised quadrangle
• Ovoids and spreads of finite classical polar spaces
• Applications of line geometry over finite fields II. The Hermitian surface
• The construction of Cameron-Liebler line classes in \(PG(3,q)\)
• On the non-existence of certain Cameron-Liebler line classes in \(PG(3,q)\)
• Tactical decompositions and orbits of projective groups
• Hemisystems of small flock generalized quadrangles
• Cameron-Liebler line classes with parameter \(x = \frac{q^2 - 1}{2}\)
• Uniformity in association schemes and coherent configurations: cometric \(Q\)-antipodal schemes and linked systems
• Tight sets and \(m\)-ovoids of finite polar spaces
• Cameron-Liebler line classes in \(\mathrm{PG}(3,4)\)
• Forme e geometrie hermitiane, con particolare riguardo al caso finito
• Strongly regular graphs with strongly regular decomposition
• The non-existence of Cameron–Liebler line classes with parameter 2 <x≤q
• Every flock generalized quadrangle has a hemisystem
• The Geometry of Two-Weight Codes
• PARTIAL QUADRANGLES
• The isomorphism problem for linear representations and their graphs The isomorphism problem for linear representations and their graphs
• Shult sets and translation ovoids of the Hermitian surface
• HEMISYSTEMS ON THE HERMITIAN SURFACE

This page was built for publication: Intriguing sets of quadrics in \(\mathrm{PG}(5, q)\)