102 citations · 410 across the 32 of their papers we have counts for
34 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 …
Plus-pure thresholds of some cusp-like singularities in mixed characteristic
Hanlin Cai, Suchitra Pande, Eamon Quinlan-Gallego +2
Log-canonical and -pure thresholds of pairs in equal characteristic admit an analog in the recent theory of singularities in mixed characteristic, which is known as the plus-pur…
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…
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…
On -pure inversion of adjunction
Thomas Polstra, Austyn Simpson, Kevin Tucker
We analyze adjunction and inversion of adjunction for the -purity of divisor pairs in characteristic . In this vein, we give a complete answer for principal divisors unde…