In this paper the most natural questions concerning the blocking sets in the line Grassmannian of PG(n, q) are partially answered. In particular, the following Bose-Burton type theorems are proved: if n is odd or n = 4, then the blocking sets of minimum size are precisely the linear complexes with singular subspace of minimum dimension.
Blocking sets in line Grassmannians
ZANELLA, CORRADO
2006
Abstract
In this paper the most natural questions concerning the blocking sets in the line Grassmannian of PG(n, q) are partially answered. In particular, the following Bose-Burton type theorems are proved: if n is odd or n = 4, then the blocking sets of minimum size are precisely the linear complexes with singular subspace of minimum dimension.
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