Algebraic Geometry Seminar
Tiankai Liu
MIT
On the Coolidge-Nagata conjecture
Abstract: The Coolidge-Nagata conjecture asserts that every rational curve in the complex projective plane that has only cusps (i.e., for which the normalization map is bijective) can be transformed into a line via a birational automorphism of the plane. We will discuss some progress towards this conjecture, and various techniques for studying cuspidal rational curves.
Wednesday January 15, 2014 at 4:00 PM in SEO 427