7 citations · 12 across the 4 of their papers we have counts for
4 papers
A Simple Characterization of Du Bois Singularities
Karl Schwede
We prove the following theorem characterizing Du Bois singularities. Suppose that is smooth and that is a reduced closed subscheme. Let $π: \tld Y \to Y$ be a log resolutio…
F-injective singularities are Du Bois
Karl Schwede
In this paper, we prove that singularities of -injective type are Du Bois. This extends the correspondence between singularities associated to the minimal model program and sing…
Generalized test ideals, sharp F-purity, and sharp test elements
Karl Schwede
Consider a pair $(R, \ba^t)$ where is a ring of positive characteristic, $\ba$ is an ideal such that R^{\circ} \neq \emptysett > 0$ is a real number. In this s…
Rational singularities associated to pairs
Karl Schwede, Shunsuke Takagi
In this paper we introduce a notion of rational singularities associated to pairs $(X, \ba^t)$ where is a variety, $\ba$ is an ideal sheaf and is a nonnegative real number.…