148 citations · 912 across the 75 of their papers we have counts for
34 papers · 1 filter
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…
The Briançon-Skoda theorem for pseudo-rational and Du Bois singularities and uniformity in excellent rings
Linquan Ma, Peter M. McDonald, Rebecca R. G. +1
Suppose is an -generated ideal in any ring . We prove a general Briançon-Skoda-type containment relating the integral closure w…
Bounds on the plus-pure thresholds of some hypersurfaces in (ramified) regular rings
Marta Benozzo, Vignesh Jagathese, Vaibhav Pandey +3
We study the plus-pure threshold (ppt) of hypersurfaces in mixed characteristic. We show that the ppt limits to the -pure threshold (fpt) as we ramify the base DVR. Additionally…
Variants on Frobenius Intersection Flatness and Applications to Tate Algebras
Rankeya Datta, Neil Epstein, Karl Schwede +1
The theory of singularities defined by Frobenius has been extensively developed for -finite rings and for rings that are essentially of finite type over excellent local rings. H…