On the number of ordinary lines determined by sets in complex space

Symposium on Computational Geometry, 2017.

Cited by: 3|Views29
EI

Abstract:

Kelly’s theorem states that a set of n points affinely spanning \({\mathbb {C}}^3\) must determine at least one ordinary complex line (a line incident to exactly two of the points). Our main theorem shows that such sets determine at least 3n / 2 ordinary lines, unless the configuration has \(n-1\) points in a plane and one point outside t...More

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