On the structure of the directions not determined by a large affine point set
classification
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keywords
affinedetermineddirectionspartialpointstructureapplicationcertain
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Given a point set $U$ in an $n$-dimensional affine space of size $q^{n-1}-\varepsilon$, we obtain information on the structure of the set of directions that are not determined by $U$, and we describe an application in the theory of partial ovoids of certain partial geometries.
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