engleski

Tight sets in finite classical polar spaces

In this article we show that an i-tight set in the Hermitian variety H(2r + 1, q), 81 < q odd square, is a union of pairwise disjoint (2r+1)- dimensional Baer subgeometries PG(2r + 1, q) and generators of H(2r + 1, q), when i < (q^(2/3) - 1)/2. We extend the result to tight sets in the symplectic polar space W(2r + 1, q). We conclude by applying our new results on tight sets to improve a known result on maximal partial spreads in the symplectic polar space W(2r + 1, q).

Tight set

nije evidentirano