Blocking sets of the Hermitian unital
Aart Blokhuis, Andries E. Brouwer, Dieter Jungnickel, Vedran Krčadinac, Sara Rottey, Leo Storme, Tamás Szőnyi, Peter Vandendriessche · Repository of the Academy's Library (Library of the Hungarian Academy of Sciences) · 2015
It is known that the classical unital arising from the Hermitian curve in PG(2, 9) does not have a 2-coloring without monochromatic lines. Here we show that for q ≥ 4 the Hermitian curve in PG(2, q²) does possess 2-colorings without monochromatic lines. We present general constructions and also prove a lower bound on the size of blocking sets in the classical unital.