148 citations · 912 across the 75 of their papers we have counts for
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Perfectoid pure singularities
Bhargav Bhatt, Linquan Ma, Zsolt Patakfalvi +4
Fix a prime number . Inspired by the notion of -pure or -split singularities, we study the condition that a Noetherian ring with in its Jacobson radical is pure inside…
The Briançon-Skoda Theorem via weak functoriality of big Cohen-Macaulay algebras
Sandra Rodríguez-Villalobos, Karl Schwede
We prove that, given a sufficiently functorial assignment from rings to big Cohen-Macaulay algebras , that the associated big Cohen-Macaulay closure operation on ideal…
Finite generation of split F-regular monoid algebras
Rankeya Datta, Karl Schwede, Kevin Tucker
Let be a submonoid of a free Abelian group of finite rank. We show that if is a field of prime characteristic such that the monoid -algebra is split -regular,…
Test ideals in mixed characteristic: a unified theory up to perturbation
Bhargav Bhatt, Linquan Ma, Zsolt Patakfalvi +5
Let be an integral scheme of finite type over a complete DVR of mixed characteristic. We provide a definition of a test ideal which agrees with the multiplier ideal after inver…