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arXiv · 1311.1479

An incidence conjecture of Bourgain over fields of positive characteristic

Jordan S. Ellenberg·Marton Hablicsek
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Abstract

In this note we generalize a recent theorem of Guth and Katz on incidences between points and lines in $3$-space from characteristic $0$ to characteristic $p$, and we explain how some of the special features of algebraic geometry in characteristic $p$ manifest themselves in problems of incidence geometry.

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Jordan S. Ellenberg, Marton Hablicsek. 2013-11-06. An incidence conjecture of Bourgain over fields of positive characteristic. https://arxiv.org/abs/1311.1479

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