5 citations · 12 across the 13 of their papers we have counts for
4 papers · 2 filters
Abelian extensions of equicharacteristic regular rings need not be Cohen-Macaulay
Aryaman Maithani, Anurag K. Singh, Prashanth Sridhar
By a theorem of Roberts, the integral closure of a regular local ring in a finite abelian extension of its fraction field is Cohen-Macaulay, provided that the degree of the extensi…
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…
A note concerning the vanishing of local cohomology for roots in mixed characteristic
Prashanth Sridhar
The goal of this note is to record the following curious fact: let $(S,\n)$ be an unramified regular local ring of mixed characteristic and dimension . Let denote the…
Module-Theoretic Characterizations of Gorenstein Morphisms
Andrew Soto Levins, Prashanth Sridhar
The Gorenstein property in local algebra admits several characterizations via its module category. The goal of this paper is to collect and generalize such characterizations to the…