On a question of Bourgain about geometric incidences
classification
🧮 math.CO
keywords
bourgainlinespointsquestionanswercoplanareuclideanfirst
read the original abstract
Given a set of $s$ points and a set of $n^2$ lines in three-dimensional Euclidean space such that each line is incident the $n$ points but no $n$ lines are coplanar, then we have $s=\Omega(n^{11/4})$. This is the first nontrivial answer to a question recently posed by Jean Bourgain.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.