Some non-existence results on \(m\)-ovoids in classical polar spaces

DOI10.1016/j.ejc.2024.103943arXiv2305.06285MaRDI QIDQ6201926

Jonathan Mannaert, Jan De Beule, Valentino Smaldore

Publication date: 26 March 2024

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2305.06285

Mathematics Subject Classification ID

Combinatorial structures in finite projective spaces (51E20) Polar geometry, symplectic spaces, orthogonal spaces (51A50) Designs and configurations (05Bxx)

Cites Work

• Weighted intriguing sets of finite generalised quadrangles
• Interesting pointsets in generalized quadrangles and partial geometries
• Ovoids and spreads of finite classical polar spaces
• Applications of line geometry over finite fields II. The Hermitian surface
• \(m\)-systems of polar spaces
• Intriguing sets of quadrics in \(\mathrm{PG}(5, q)\)
• A new infinite family of hemisystems of the Hermitian surface
• Hemisystems of small flock generalized quadrangles
• Tight sets and \(m\)-ovoids of generalised quadrangles
• Constructions of intriguing sets of polar spaces from field reduction and derivation
• Tight sets and \(m\)-ovoids of finite polar spaces
• Hemisystems of the Hermitian surface
• Forme e geometrie hermitiane, con particolare riguardo al caso finito
• New hemisystems of the Hermitian surface
• HEMISYSTEMS ON THE HERMITIAN SURFACE
• A modular equality for m$m$‐ovoids of elliptic quadrics
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