## Graduate Algebraic Geometry Seminar

Jay Kopper

UIC

Counterexamples to Hilber's fourteenth problem part II

**Abstract:**Last week we saw that finite generation of a particular ring depended on finite generation of the effective cone of the blow-up of the plane at a set of points. In this (hopefully) self-contained talk, we will prove that the effective cone of the blow-up of the plane at 9 or more general points is not finitely generated.

Wednesday February 1, 2017 at 3:00 PM in SEO 712