The cubic Segre variety in \(\mathrm{PG}(5,2)\)

DOI10.1007/S10623-008-9250-2zbMath1404.51007OpenAlexW2162746291MaRDI QIDQ1009140

Neil A. Gordon, Shaw, Ron

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/s10623-008-9250-2

Mathematics Subject Classification ID

Combinatorial structures in finite projective spaces (51E20)

Related Items (3)

Trivectors and cubics: PG(5,2) aspects ⋮ On invariant notions of Segre varieties in binary projective spaces ⋮ Trivectors yielding spreads in PG\((5,2)\)

Cites Work

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• The \(\psi\)-associate \(X^{\#}\) of a flat \(X\) in \(PG(n,2)\)
• A characterization of the primals in \(PG(m,2)\)
• The classification of flats in \(\text{PG}(\mathbf{9,2})\) which are external to the Grassmannian \({\mathcal G}_{\mathbf{1,4,2}}\)
• Configurations of planes in PG(5,2)
• The quintic Grassmannian \(\mathcal G_{1, 4, 2}\) in PG(9, 2)
• The polynomial degrees of Grassmann and Segre varieties over GF(2)
• Subsets of PG\((n,2)\) and maximal partial spreads in PG\((4,2)\)

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