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An Incidence Theorem in Higher Dimensions

Discrete and Computational Geometry (2012) 48(2) 255-280
DOI: 10.1007/s00454-012-9420-x
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Abstract

We prove almost tight bounds on the number of incidences between points and k-dimensional varieties of bounded degree in R d. Our main tools are the polynomial ham sandwich theorem and induction on both the dimension and the number of points. © 2012 Springer Science+Business Media, LLC.

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Solymosi, J., & Tao, T. (2012). An Incidence Theorem in Higher Dimensions. Discrete and Computational Geometry, 48(2), 255–280. https://doi.org/10.1007/s00454-012-9420-x

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