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arXiv · 1503.01729

A note on rich lines in truly high dimensional sets

Joshua Zahl
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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.

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Joshua Zahl. 2015-12-26. A note on rich lines in truly high dimensional sets. https://doi.org/10.1017/fms.2015.34

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