Tiankai Liu : On the Coolidge-Nagata conjecture

Posted by Kevin Tucker , part of the Algebraic Geometry Seminar.

At

Jan. 15, 2014, 4 p.m.

In

SEO 427

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.