148 citations · 912 across the 75 of their papers we have counts for
7 papers · 2 filters
Test ideals of non-principal ideals: Computations, Jumping Numbers, Alterations and Division Theorems
Karl Schwede, Kevin Tucker
Given an ideal in a (log) -Gorenstein -finite ring of characteristic , we study and provide a new perspective on the test ideal for a real…
Depth of -singularities and base change of relative canonical sheaves
Zsolt Patakfalvi, Karl Schwede
For a characteristic variety with controlled -singularities, we state conditions which imply that a divisorial sheaf is Cohen-Macaulay or at least has depth …
-linear maps in algebra and geometry
Manuel Blickle, Karl Schwede
In this article we survey the basic properties of -linear endomorphisms of coherent -modules, i.e. of -linear maps $F_* \sF \to \sG$ where $\sF,\sG$ are -mod…
On the numerical dimension of pseudo-effective divisors in positive characteristic
Paolo Cascini, Christopher Hacon, Mircea Mustata +1
Let X be a smooth projective variety over an algebraically closed field of positive characteristic. We prove that if D is a pseudo-effective R-divisor on X which is not numerically…
A Frobenius variant of Seshadri constants
Mircea Mustata, Karl Schwede
We define and study a version of Seshadri constant for ample line bundles in positive characteristic. We prove that lower bounds for this constant imply the global generation or ve…
Richardson Varieties Have Kawamata Log Terminal Singularities
Shrawan Kumar, Karl Schwede
Let be a Richardson variety in the full flag variety associated to a symmetrizable Kac-Moody group . Recall that is the intersection of the finite dimensiona…
Explicitly Extending Frobenius Splittings over Finite Maps
Karl Schwede, Kevin Tucker
Suppose that is a finite map of normal varieties over a perfect field of characteristic . Previous work of the authors gave a criterion for when Frobenius spli…