4 papers
Derived Kunz and Radu--André Theorems
Daniel Fink
We extend Kunz's theorem and its relative form, the Radu--André theorem, to animated algebras. The main inputs are the classical theorems, together with Bhatt and Scholze's vanishi…
-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…
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…