148 citations · 912 across the 75 of their papers we have counts for
8 papers · 1 filter
A refinement of sharply F-pure and strongly F-regular pairs
Karl Schwede
We point out that the usual argument used to prove that is strongly -regular if and only if is strongly -regular for every prime ideal $Q \in \Spec R$, does not g…
Hodge theory meets the minimal model program: a survey of log canonical and Du Bois singularities
Sándor J Kovács, Karl Schwede
This is a survey of some recent developments in the study of singularities related to the classification theory of algebraic varieties. In particular, the definition and basic prop…
Discreteness and rationality of -jumping numbers on singular varieties
Manuel Blickle, Karl Schwede, Shunsuke Takagi +1
We prove that the -jumping numbers of the test ideal $τ(X; Δ, \ba^t)$ are discrete and rational under the assumptions that is a normal and -finite variety over a field of…
Test ideals in non-Q-Gorenstein rings
Karl Schwede
Suppose that $X = \Spec R$ is an -finite normal variety in characteristic . In this paper we show that the big test ideal $τ_b(R) = \tld τ(R)$ is equal to $\sum_Δ τ(R; Δ)…
Globally -regular and log Fano varieties
Karl E. Schwede, Karen E. Smith
We prove that every globally -regular variety is log Fano. In other words, if a prime characteristic variety is globally -regular, then it admits an effective $\bQ$-divis…
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…