1 citations · 1 across the 2 of their papers we have counts for
12 papers
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…
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 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 …
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…
-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 $F…
BCM-thresholds of non-principal ideals
Sandra RodrÃguez-Villalobos, Karl Schwede
Generalizing previous work of the first author, we introduce and study a characteristic free analog of the -threshold for non-principal ideals, BCM-thresholds. We show that this…