turkmath.org

A famous configuration of 27 lines on a non-singular cubic surface in CP3 contains remarkable subconfigurations, and in particular the ones formed by six pairwise disjoint lines. We will discuss such six-line configurations in the case of real cubic surfaces from topological viewpoint, as configurations of six disjoint lines in the real projective 3-space, and show that the condition that they lie on a cubic surface implies a very special property which distinguishes them in the Mazurovskii list of 11 deformation types of configurations formed by six disjoint lines in RP3. This is joint work with Sergey Finashin.