Solids in the space of the Veronese surface in even characteristic

DOI10.1016/j.ffa.2022.102068OpenAlexW3158469053MaRDI QIDQ2168930

Michel Lavrauw, Nour Alnajjarine, Tomasz Popiel

Publication date: 26 August 2022

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.11373

zbMATH Keywords

finite geometrycombinatorial invariantsVeronese varietyclassification of orbitspencils of conics

Mathematics Subject Classification ID

Combinatorial aspects of finite geometries (05B25) Combinatorial structures in finite projective spaces (51E20) Pencils, nets, webs in algebraic geometry (14C21)

Uses Software

• GAP
• FinInG

Cites Work

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• Veronese varieties over fields with non-zero characteristic: A survey
• Combinatorial invariants for nets of conics in \(\mathrm{PG}(2,q)\)
• Nets of conics of rank one in \(\mathrm{PG}(2,q)\), \(q\) odd
• The symmetric representation of lines in \(\operatorname{PG} ( \mathbb{F}^3 \otimes \mathbb{F}^3 )\)
• Canonical forms of \(2 \times 3 \times 3\) tensors over the real field, algebraically closed fields, and finite fields
• Nets of conics
• Determining the Rank of Tensors in $$\mathbb {F}_q^2\otimes \mathbb {F}_q^3\otimes \mathbb {F}_q^3$$
• On the solution of algebraic equations over finite fields

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