102 citations · 410 across the 32 of their papers we have counts for
6 papers · 1 filter
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 $s(R,Δ,\ba^…
Test ideals via a single alteration and discreteness and rationality of -jumping numbers
Karl Schwede, Kevin Tucker, Wenliang Zhang
Suppose is a log-$\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…
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…
F-signature of pairs and the asymptotic behavior of Frobenius splittings
Manuel Blickle, Karl Schwede, Kevin Tucker
We generalize -signature to pairs where is a Cartier subalgebra on as defined by the first two authors. In particular, we show the existence and positivity of th…
A survey of test ideals
Karl Schwede, Kevin Tucker
Test ideals were first introduced by Mel Hochster and Craig Huneke in their celebrated theory of tight closure, and since their invention have been closely tied to the theory of Fr…
F-signature exists
Kevin Tucker
Suppose R is a Noetherian local ring with prime characteristic p>0. In this article, we show the existence of a local numerical invariant, called the F-signature, which roughly cha…