Xudong Zheng : $F$-purity of isolated log canonical singularities

Posted by Xudong Zheng , part of the Graduate Algebraic Geometry Seminar.

At

Feb. 4, 2015, 3 p.m.

In

SEO 712

Abstract

A singularity in characteristic zero is said to be of <i>dense F-pure type </i> if its modulo $p$ reduction is locally Frobenius split for infinitely many $p$. In this talk I will present that if $x \in X$ is an isolated log canonical singularity with certain additional condition, then it is of dense $F$-pure type.