On the structure of the directions not determined by a large affine point set
Combinatorics
2013-02-12 v1
Abstract
Given a point set in an -dimensional affine space of size , we obtain information on the structure of the set of directions that are not determined by , and we describe an application in the theory of partial ovoids of certain partial geometries.
Keywords
Cite
@article{arxiv.1302.2513,
title = {On the structure of the directions not determined by a large affine point set},
author = {Jan De Beule and Péter Sziklai and Marcella Takáts},
journal= {arXiv preprint arXiv:1302.2513},
year = {2013}
}