5 citations · 12 across the 13 of their papers we have counts for
15 papers
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…
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…
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…
Serre duality for dg-algebras
Michael K. Brown, Prashanth Sridhar
We generalize Yekutieli-Zhang's noncommutative Serre Duality Theorem to the setting of noncommutative spaces associated to dg-algebras. As an application, we establish some finiten…
On Abelian extensions in mixed characteristic and ramification in codimension one
Daniel Katz, Prashanth Sridhar
A theorem of Paul Roberts states that the integral closure of a regular local ring in a generically abelian extension is Cohen-Macaulay, provided the characteristic of the residue…
The multigraded BGG correspondence in Macaulay2
Maya Banks, Michael K. Brown, Tara Gomes +3
We give an overview of a Macaulay2 package for computing with the multigraded BGG correspondence. This software builds on the package BGG due to Abo-Decker-Eisenbud-Schreyer-Smith-…
Orlov's Theorem for dg-algebras
Michael K. Brown, Prashanth Sridhar
A landmark theorem of Orlov relates the singularity category of a graded Gorenstein algebra to the derived category of the associated noncommutative projective scheme. We generaliz…
Periodicity of ideals of minors in free resolutions
Michael K. Brown, Hailong Dao, Prashanth Sridhar
We study the asymptotic behavior of the ideals of minors in minimal free resolutions over local rings. In particular, we prove that such ideals are eventually 2-periodic over compl…
On The Integral Closure of Radical Towers in Mixed Characteristic
Daniel Katz, Prashanth Sridhar
We study the Cohen-Macaulay property of a particular class of radical extensions of an unramified regular local ring having mixed characteristic.
Finitistic dimensions over commutative DG-rings
Isaac Bird, Liran Shaul, Prashanth Sridhar +1
In this paper we study the finitistic dimensions of commutative noetherian non-positive DG-rings with finite amplitude. We prove that any DG-module of finite flat dimension ove…
Existence of birational small Cohen-Macaulay modules over biquadratic extensions in mixed characteristic
Prashanth Sridhar
Let be an unramified regular local ring of mixed characteristic two and the integral closure of in a biquadratic extension of its quotient field obtained by adjoining r…
On the existence of birational maximal Cohen-Macaulay modules over biradical extensions in mixed characteristic
Prashanth Sridhar
Let be an unramified regular local ring of mixed characteristic and the subring of obtained by lifting to the image of the Frobenius map on . Let…
On reflexive and -Ulrich modules over curve singularities
Hailong Dao, Sarasij Maitra, Prashanth Sridhar
We study reflexive modules over one dimensional Cohen-Macaulay rings. Our key technique exploits the concept of -Ulrich modules.