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On a Question of Bourgain about Geometric Incidences
Published online by Cambridge University Press: 01 July 2008
Abstract
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.
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