44 citations · 172 across the 30 of their papers we have counts for
36 papers
-finite schemes have a dualizing complex
Bhargav Bhatt, Manuel Blickle, Karl Schwede +1
In this paper we show that any Noetherian -finite scheme has a dualizing complex with the property that for all finite type maps between …
-smooth factorization for Noetherian -finite rings
Manuel Blickle, Daniel Fink
We show that any homomorphism between Noetherian -finite rings can be factored into a regular morphism between Noetherian -finite rings followed by a surjection. This result…
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.…
Cartier Crystals have finite global dimension
Manuel Blickle, Daniel Fink
We show that the category of quasi-coherent Cartier crystals is equivalent to the category of unit Cartier modules on an F-finite noetherian ring R, and that these equivalent categ…