Trivectors and cubics: PG(5,2) aspects
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Publication:641697
DOI10.1007/S00022-011-0060-8zbMath1230.15016OpenAlexW2073212411MaRDI QIDQ641697
Publication date: 25 October 2011
Published in: Journal of Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00022-011-0060-8
Grassmanniansingular linesalternating multilinear formscubics in \(PG(5, 2)\)Desarguesian line-spreadtrivectorstrivectors over \(GF(2)\)
Combinatorial structures in finite projective spaces (51E20) Exterior algebra, Grassmann algebras (15A75)
Cites Work
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- The polynomial degree of the Grassmannian \(G(1,n,q)\) of lines in finite projective space \(PG(n,q)\)
- Singular lines of trilinear forms
- The cubic Segre variety in \(\mathrm{PG}(5,2)\)
- The \(\psi\)-associate \(X^{\#}\) of a flat \(X\) in \(PG(n,2)\)
- A characterization of the primals in \(PG(m,2)\)
- Icosahedral sets in \(PG(5,2)\)
- External flats to varieties in \(\mathbb{P}\mathbb{G}(\bigwedge^2(V))\) over finite fields
- Configurations of planes in PG(5,2)
- The polynomial degrees of Grassmann and Segre varieties over GF(2)
- Trilinear alternating forms on a vector space of dimension 7
- Trivectors yielding spreads in PG\((5,2)\)
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