Chenyang Xu : Existence of log canonical closures

Posted by Mihnea Popa , part of the Algebraic Geometry Seminar.

At

Oct. 10, 2012, 4 p.m.

In

SEO 427

Abstract

I will talk about the existence of a good minimal model (i.e., minimal model on which the abundance conjecture holds) for log canonical pairs in two situations. Using it, we show the existence of log canonical closure for any lc pairs, the moduli space of canonical polarized varieties satisfying the valuation criterion of properness and the existence of log canonical flips. (Joint with Christopher Hacon.)