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20212025
most citedExistence of birational small Cohen-Macaulay modules over biquadratic extensions in mixed characteristic

5 citations · 12 across the 13 of their papers we have counts for

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math.AC2025

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…

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…

math.RA2025

Existence of balanced dualizing dg-modules

Michael K. Brown, Andrew J. Soto Levins, Prashanth Sridhar

We describe cohomological conditions that are necessary and sufficient for the existence of balanced dualizing dg-modules, generalizing a theorem of Van den Bergh for balanced dual…

math.AC2025

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…

math.AC2025

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…