4 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…
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 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…
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…