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On sets of points with few odd secants

Author: Ball, S.; Csajbok, B.

Type of activity: Journal article
Journal: Combinatorics probability and computing
Date of publication: 2019-10-10
Volume: 29
Number: 1
First page: 31
Last page: 43
DOI: 10.1017/S0963548319000245
Project funding: Geometric, algebraic and probabilistic combinatorics

Repository: http://hdl.handle.net/2117/175507
https://arxiv.org/abs/1711.10876
URL: https://www.cambridge.org/core/journals/combinatorics-probability-and-computing/article/on-sets-of-points-with-few-odd-secants/8833E150CC39E02DF802D2F5D2EE837C
Abstract: This article has been published in a revised form in Combinatorics, Probability and Computing, 29(1), 31-43. doi:10.1017/S0963548319000245. This version is free to view and download for private research and study only. Not for re-distribution or re-use. © We prove that, for q odd, a set of q + 2 points in the projective plane over the field with q elements has at least 2q - c odd secants, where c is a constant and an odd secant is a line incident with an odd number of points of the set.
Citation: Ball, S.; Csajbok, B. On sets of points with few odd secants. "Combinatorics probability and computing", 10 Octubre 2019, vol. 29, núm. 1, p. 31-43.
Keywords: Lemma of tangents

Group of research: GAPCOMB - Geometric, Algebraic and Probabilistic Combinatorics