Prof. dr. Gábor Gévay: Geometric (n_k) configurations
Source: Mathematics colloquium
Univerza v Szegedu
In the simplest case, a geometric (nk) configuration is a set of n points and n lines such that each of the points is incident with precisely k of the lines and each of the lines is incident with precisely k of the points. Instead of lines, the second subset may consist of planes, hyperplanes, circles, ellipses, etc. We discuss some construction principles, and review some recently discovered classes of such configurations. We also formulate an incidence conjecture concerning a spatial (1004) point-line configuration.