Karl Schwede : Log canonical and Du Bois singularities

Posted by , part of the Algebraic Geometry Seminar.

At

Feb. 14, 2008, 4 p.m.

In

SEO 636

Abstract

I will discuss recent joint work with S\'{a}ndor Kov\'{a}cs and Karen Smith. I will describe a simple new Kempf-like characterization of Du Bois singularities in the normal Cohen-Macaulay case and explain how it can be used to show that Cohen-Macaulay (semi-)log canonical singularities are Du Bois, a conjecture of Koll\'{a}r. As a corollary, we obtain generalizations to Kodaira-type vanishing theorems.