148 citations · 912 across the 75 of their papers we have counts for
11 papers · 1 filter
Bertini theorems for F-singularities
Karl Schwede, Wenliang Zhang
We prove that strongly F-regular and F-pure singularities satisfy Bertini-type theorems (including in the context of pairs) by building upon a framework of Cumino, Greco and Manare…
F-signature of pairs: Continuity, p-fractals and minimal log discrepancies
Manuel Blickle, Karl Schwede, Kevin Tucker
This paper contains a number of observations on the {-signature} of triples $(R,Δ,\ba^t)$ introduced in our previous joint work. We first show that the -signature $s(R,Δ,\ba^…
A dual to tight closure theory
Neil Epstein, Karl Schwede
We introduce an operation on modules over an -finite ring of characteristic . We call this operation \emph{tight interior}. While it exists more generally, in some cases this…
Test ideals via a single alteration and discreteness and rationality of -jumping numbers
Karl Schwede, Kevin Tucker, Wenliang Zhang
Suppose is a log-$\bQ$-Gorenstein pair. Recent work of M. Blickle and the first two authors gives a uniform description of the multiplier ideal $\mJ(X;Δ)$ (in characterist…
A canonical linear system associated to adjoint divisors in characteristic
Karl Schwede
Suppose that is a projective variety over an algebraically closed field of characteristic . Further suppose that is an ample (or more generally in some sense positiv…
F-singularities via alterations
Manuel Blickle, Karl Schwede, Kevin Tucker
For a normal F-finite variety and a boundary divisor we give a uniform description of an ideal which in characteristic zero yields the multiplier ideal, and in positive cha…