A characterization of the set of internal points of a conic in \(\mathrm{PG}(2,q), q\) odd

DOI10.1007/s00022-019-0474-2zbMath1417.51006OpenAlexW2929924217WikidataQ128124066 ScholiaQ128124066MaRDI QIDQ2000711

Fulvio Zuanni, Stefano Innamorati

Publication date: 28 June 2019

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00022-019-0474-2

zbMATH Keywords

conicsinternal pointssets of class \([0, m, n\)]three character sets

Mathematics Subject Classification ID

Blocking sets, ovals, (k)-arcs (51E21) Combinatorial structures in finite projective spaces (51E20)

Related Items (1)

The type of a point and a characterization of the set of external points of a conic in PG(2, q), q odd

Cites Work

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• Sets in a finite plane with few intersection numbers and a distinguished point
• On sets of type \((m,m+q)_2\) in \(\mathrm{PG}(3,q)\)
• Sets of type \((m,n)\) in the affine and projective planes of order nine
• Cameron-Liebler line classes
• On standard two-intersection sets in \(\mathrm{PG}(r,q)\)
• A characterization of the sets of internal and external points of a conic
• On regular {v, n}‐arcs in finite projective spaces
• A combinatorial problem
• Sets of type \((a,b)\) from subgroups of \(\Gamma L (1, p^R)\)
• Sets with few intersection numbers from Singer subgroup orbits

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