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20072009
most citedGeneralized test ideals, sharp F-purity, and sharp test elements

7 citations · 12 across the 4 of their papers we have counts for

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math.AG2009★ 4 cited

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…

math.AG2008

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…

math.AG2007★ 1 cited

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.…