activity
20072026
most citedGlobally -regular and log Fano varieties

148 citations · 912 across the 75 of their papers we have counts for

collaborators

84 papers

math.AC2026

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…

math.AC2026

-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…

math.AC2026

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…

math.AG2026

-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 …

math.AC2025

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…

math.AC2025

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…