On a Question of Bourgain about Geometric Incidences
József Solymosi, Csaba D. Tóth · Combinatorics Probability Computing · 2008
Given a set of s points and a set of n2 lines in three-dimensional Euclidean space such that each line is incident to n points but no n lines are coplanar, we show that s = Ω(n11/4). This is the first non-trivial answer to a question recently posed by Jean Bourgain.