An incidence theorem in higher dimensions

Details An incidence theorem in higher dimensions An incidence theorem in higher dimensions

2011-03-15

arxiv.org/abs/1103.2926v5

Mathematics

Combinatorics

26 pages, no figures, submitted, Disc. Comp. Geom. This is the final version

Scientific paper

We prove almost tight bounds on 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.

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