Coble surfaces and Desargues configurations of lines and points

  • Igor Dolgachev (University of Michigan)
HU Berlin - Raum n.n. Humboldt-Universität zu Berlin (Berlin)


A beautiful theorem of J. Thas asserts that the ten points of a Desargues configuration of lines and points formed by two perspective triangles in the projective plane can serve as the ten nodes of a unique rational plane curve of degree 6. I will give an algebraic-geometric proof of this theorem by using the geometry of a special Coble surfaces obtained as blow-ups of ten nodes of a rational sextic. We will also discuss an interesting dynamics of automorphisms of these special Coble surfaces.

Mirke Olschewski

MPI for Mathematics in the Sciences Contact via Mail

Upcoming Events of this Seminar