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On the structure of the directions not determined by a large affine point set

De Beule, J. and Sziklai, Péter and Takáts, Marcella (2013) On the structure of the directions not determined by a large affine point set. JOURNAL OF ALGEBRAIC COMBINATORICS, 38 (4). pp. 888-899. ISSN 0925-9899

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Abstract

Given a point set U in an n-dimensional affine space of size qn−1 − ε, 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.

Item Type: Article
Uncontrolled Keywords: Partial ovoids; Partial geometries; Directions in an affine space;
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 25 Jun 2024 14:14
Last Modified: 25 Jun 2024 14:14
URI: https://real.mtak.hu/id/eprint/198693

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