Abstract
A -semiarc is a point set with the property that the number of tangent lines to at each of its points is . We show that if a small -semiarc in has a large collinear subset , then the tangents to at the points of can be blocked by points not in . In fact, we give a more general result for small point sets with less uniform tangent distribution. We show that in small -semiarcs are related to certain small blocking sets and give some characterization theorems for small semiarcs with large collinear subsets.
Citation
Bence Csajbók. Tamás Héger. György Kiss. "Semiarcs with a long secant in PG(2,q)." Innov. Incidence Geom. 14 1 - 26, 2015. https://doi.org/10.2140/iig.2015.14.1
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