Open Access
January 2006 Two-intersection sets with respect to lines on the Klein quadric
F. De Clerck, N. De Feyter, N. Durante
Bull. Belg. Math. Soc. Simon Stevin 12(5): 743-750 (January 2006). DOI: 10.36045/bbms/1136902612

Abstract

We construct new examples of sets of points on the Klein quadric $\mathcal{K}$, $q$ even, having exactly two intersection sizes 0 and $\alpha$ with lines on $\mathcal{K}$. By the well-known Plücker correspondence, these examples yield new $(0,\alpha)$-geometries embedded in $PG(3,q)$, $q$ even.

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F. De Clerck. N. De Feyter. N. Durante. "Two-intersection sets with respect to lines on the Klein quadric." Bull. Belg. Math. Soc. Simon Stevin 12 (5) 743 - 750, January 2006. https://doi.org/10.36045/bbms/1136902612

Information

Published: January 2006
First available in Project Euclid: 10 January 2006

zbMATH: 1135.51009
MathSciNet: MR2241340
Digital Object Identifier: 10.36045/bbms/1136902612

Rights: Copyright © 2006 The Belgian Mathematical Society

Vol.12 • No. 5 • January 2006
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