148 citations · 912 across the 75 of their papers we have counts for
8 papers · 1 filter
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…
Deformation of -injectivity and local cohomology
Jun Horiuchi, Lance Edward Miller, Kazuma Shimomoto
We give sufficient conditions for F-injectivity to deform. We show these conditions are met in two common geometrically interesting setting, namely when the special fiber has isola…
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…