148 citations · 912 across the 75 of their papers we have counts for
6 papers · 1 filter
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…
Closure operations induced via resolutions of singularities in characteristic zero
Neil Epstein, Peter M. McDonald, Rebecca R. G. +1
Using the fact that the structure sheaf of a resolution of singularities, or regular alteration, pushes forward to a Cohen-Macaulay complex in equal characteristic zero with a diff…
BCM-thresholds of non-principal ideals
Sandra Rodríguez-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…
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…