On a question of Bourgain about geometric incidences
Jozsef Solymosi, Csaba D. Toth
Abstract
Given a set of s points and a set of n2 lines in three-dimensional Euclidean space such that each line is incident the n points but no n lines are coplanar, then we have s=Ω(n11/4). This is the first nontrivial answer to a question recently posed by Jean Bourgain.
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