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A NOTE ON RICH LINES IN TRULY HIGH DIMENSIONAL SETS
Published online by Cambridge University Press: 13 January 2016
Abstract
We modify an argument of Hablicsek and Scherr to show that if a collection of points in $\mathbb{C}^{d}$ spans many
$r$-rich lines, then many of these lines must lie in a common
$(d-1)$-flat. This is closely related to a previous result of Dvir and Gopi.
MSC classification
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- Research Article
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- Creative Commons
- This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.
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- © The Author 2016
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