Frank de Zeeuw

activity

20142018

most citedA short proof of Rudnev's point-plane incidence bound

20 citations · 34 across the 5 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math.CO2018

Constructions for the Elekes-Szabó and Elekes-Rónyai problems

Mehdi Makhul, Oliver Roche-Newton, Audie Warren +1

We give a construction of a non-degenerate polynomial $F \in R [x, y, z]$ and a set $A$ of cardinality $n$ such that $\left|Z(F)\cap (A \times A \times A) \right| \gg n^{\frac{…

math.CO2018★ 3 cited

Ordinary lines in space

Frank de Zeeuw

We prove that if a finite point set in real space does not have too many points on a plane, then it spans a quadratic number of ordinary lines. This answers the real case of a ques…

math.CO2018★ 5 cited

Spanned lines and Langer's inequality

Frank de Zeeuw

We collect some results in combinatorial geometry that follow from an inequality of Langer in algebraic geometry. Langer's inequality gives a lower bound on the number of incidence…