On m-ovoids of regular near polygons

2016/12/21 by Bamberg, John, Lansdown, Jesse, Lee, Melissa
#05B25 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.1612.07187

Abstract

We generalise the work of Segre (1965), Cameron - Goethals - Seidel (1978), and Vanhove (2011) by showing that nontrivial m-ovoids of the dual polar spaces DQ(2d, q), DW(2d-1,q) and DH(2d-1,q²) (d≥ 3) are hemisystems. We also provide a more general result that holds for regular near polygons.

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