148 citations · 912 across the 75 of their papers we have counts for
5 papers · 1 filter
Perfectoid Pure and Signature Pairs
Hanlin Cai, Anne Fayolle, Linquan Ma +4
We extend perfectoid purity and related invariants to divisor pairs in mixed characteristic. The resulting purity condition agrees with -purity of pairs in characteristic as…
Thresholds of singularities in characteristic zero
Sandra Rodríguez-Villalobos, Karl Schwede
We study properties of characteristic zero variants of Frobenius thresholds inspired by the work of Epstein-McDonald-R.G. and the second author. Suppose is a…
-injectivity does not deform
Karl Schwede, Austyn Simpson
We show that there exists an -finite four-dimensional local domain of characteristic two which is not -injective but which admits a nonzerodivisor $f\in \m…
Factoring maps to big Cohen-Macaulay algebras through blowups
Karl Schwede
We show that for a reduced universally catenary equidimensional Noetherian local ring , any sufficiently functorial big Cohen-Macaulay algebra assignment , and an…
-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 …