Finite semifields with a large nucleus and higher secant varieties to Segre varieties

DOI10.1515/ADVGEOM.2011.014zbMath1278.12007OpenAlexW2328455461MaRDI QIDQ3087013

Michel Lavrauw

Publication date: 2 August 2011

Published in: advg (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/advgeom.2011.014

zbMATH Keywords

linear setfinite semifieldsemifield spread

Mathematics Subject Classification ID

Combinatorial structures in finite projective spaces (51E20) Semifields (12K10)

Related Items (15)

50 years of translation structures ⋮ A new family of linear maximum rank distance codes ⋮ Algebraic structures of MRD codes ⋮ The BEL-rank of finite semifields ⋮ On symplectic semifield spreads of \(\mathrm{PG}(5,q^2)\), \(q\) even ⋮ The generalized translation dual of a semifield ⋮ Projective planes of Lenz-Barlotti class V. ⋮ Segre embeddings and finite semifields ⋮ Finite semifields and nonsingular tensors ⋮ On symplectic semifield spreads of \(\mathrm{PG}(5,q^{2})\), \(q\) odd ⋮ Maximum scattered linear sets of pseudoregulus type and the Segre variety \(\mathcal{S}_{n,n}\) ⋮ On embeddings of minimum dimension of \(\mathrm{PG}(n,q)\times \mathrm{PG}(n,q)\) ⋮ Symplectic semifield spreads of \(\mathrm{PG}(5,q)\) and the Veronese surface ⋮ Rank-metric codes, linear sets, and their duality ⋮ On BEL-configurations and finite semifields

Cites Work

• Linear sets in finite projective spaces
• A geometric construction of finite semifields
• On the isotopism classes of finite semifields
• Normal spreads
• On \(\mathbb F_q\)-linear sets of \(\text{PG}(3,q^{3})\) and semifields
• On the Hughes-Kleinfeld and Knuth's semifields two-dimensional over a weak nucleus
• Finite semifields and projective planes
• Semifield planes of order \(q^4\) with kernel \(\mathbb F_{q^2}\) and center \(\mathbb F_q\)

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