التفاصيل البيبلوغرافية
| العنوان: |
Characterising ovoidal cones by their hyperplane intersection numbers. |
| المؤلفون: |
De Bruyn, Bart1 (AUTHOR), Van de Voorde, Geertrui2 (AUTHOR) geertrui.vandevoorde@canterbury.ac.nz |
| المصدر: |
Journal of Combinatorial Designs. Jan2025, Vol. 33 Issue 1, p5-26. 22p. |
| مصطلحات موضوعية: |
*INTERSECTION numbers, *POINT set theory, *HYPERPLANES, *CONES |
| مستخلص: |
In this paper, we characterise point sets having the same intersection numbers with respect to hyperplanes as an ovoidal cone. In particular, we show that a set of points of PG(4,q) $\text{PG}(4,q)$ which blocks all planes and intersects solids in q+1 $q+1$, q2+1 ${q}^{2}+1$ or q2+q+1 ${q}^{2}+q+1$ points is a plane or an ovoidal cone, and determine all examples that arise when the blocking condition is omitted. [ABSTRACT FROM AUTHOR] |
| قاعدة البيانات: |
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