A scattered subspace of $PG(n-1,q)$ with respect to a $(t-1)$-spread $S$ is a subspace intersecting every spread element in at most a point. Upper and lower bounds for the dimension of a maximum scattered space are given. In the case of a normal spread new classes of two intersection sets with respect to hyperplanes in a projective space are obtained using scattered spaces.
Scattered spaces with respect to a spread in PG(n,q)
LAVRAUW, MICHEL
2000
Abstract
A scattered subspace of $PG(n-1,q)$ with respect to a $(t-1)$-spread $S$ is a subspace intersecting every spread element in at most a point. Upper and lower bounds for the dimension of a maximum scattered space are given. In the case of a normal spread new classes of two intersection sets with respect to hyperplanes in a projective space are obtained using scattered spaces.File in questo prodotto:
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