4 papers
Remarks on effective uniform Briançon-Skoda
Alexandria Wheeler, Wenliang Zhang
Let be a noetherian commutative ring. Of great interest is the question whether one can find an explicit integer such that for each ideal…
On the injective dimension of unit Cartier and Frobenius modules
Manuel Blickle, Daniel Fink, Alexandria Wheeler +1
Let be a regular -finite ring of prime characteristic . We prove that the injective dimension of every unit Frobenius module in the category of unit Frobenius modules…
Applications of perverse sheaves in commutative algebra
Bhargav Bhatt, Manuel Blickle, Gennady Lyubeznik +2
The goal of this paper is to explain how basic properties of perverse sheaves sometimes translate via Riemann-Hilbert correspondences (in both characteristic and characteristic…
Frobenius on the cohomology of thickenings
Bhargav Bhatt, Manuel Blickle, Gennady Lyubeznik +2
We investigate the injectivity of the Frobenius map on thickenings of smooth varieties in projective space over a field of positive characteristic. We obtain uniform bounds -- i.e.…