Colouring multijoints

Anthony Carbery; Stefán Ingi Valdimarsson

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arXiv · 1403.6449

Colouring multijoints

Anthony Carbery·Stefán Ingi Valdimarsson

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Abstract

Let L_1, ..., L_d be pairwise disjoint collections of lines in a d-dimensional vector space over some field. If the collections are sufficiently generic we prove that there exists a d-colouring of the set of multijoints J such that for each j, for each line in L_j, the number of points on it of colour j is O(|J|^{1/d}).

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Anthony Carbery, Stefán Ingi Valdimarsson. 2014-03-25. Colouring multijoints. https://arxiv.org/abs/1403.6449

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