engleski

Tight sets on the Hermitian variety H(2r+1, q^2)

It has been shown in that an $i$-tight set on the Hermitian variety ${; ; ; H(2r+1, q^2)}; ; ; $, ${; ; ; q^2 > 16}; ; ; $, is a union of pairwise disjoint Baer subgeometries ${; ; ; PG(2r+1, q)}; ; ; $ and generators ${; ; ; PG(r, q^2)}; ; ; $, when ${; ; ; i < q^{; ; ; 10/8}; ; ; / \sqrt{; ; ; 2}; ; ; +1}; ; ; $. Combining the generalized version of known proving techniques, with recent results on blocking sets and minihypers, we have been able to give an alternative proof of this result and consequently improve the upper bound on $i$. We shed a new light on an "old" technique and show how it can be used to obtain new results.

Tight sets

nije evidentirano