Séminaire de Géométrie Tropicale

Institut Mathématiques de Jussieu ,
Université Pierre et Marie Curie, Paris 6
UMR CNRS 7586



Mercredi 24 janvier 2018 14h salle 1525-502



Sergey Finashin (Middle East Technical University, Ankara)

Topology of Real Schlafli Six-Line Configurations on Cubic Surfaces and in ℝP3

Résumé :
A famous configuration of 27 lines on a non-singular cubic surface in P3 contains remarkable subconfigurations, and in particular the ones formed by six pairwise disjoint lines. We study 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 of homogeneity. This property distinguish them in the list of 11 deformation types of configurations formed by six disjoint lines in ℝP3.