8 citations · 19 across the 11 of their papers we have counts for
14 papers
Trace ideals of syzygies
Haydee Lindo, Justin Lyle, Sarasij Maitra
We study the behavior of trace ideals under taking syzygies. In particular, when is numerical semigroup ring and is a homogeneous ideal in , we obtain an upper estimate…
Optimal Parametrizations and Valuations
Reinhold Hübl, Craig Huneke, Sarasij Maitra +1
This article discusses a way for uniquely setting up the valuations for the minimal generators of the maximal ideal of a one dimensional complete reduced and irreducible local alge…
Trace does not preserve Reflexivity
Haydee Lindo, Sarasij Maitra, William Zhang
In this note, we address a question raised in a recent work by Dao-Maitra-Sridhar, regarding the preservation of reflexivity under taking trace. We answer this question negatively.…
Unstable elements in cohomology and a question of Lescot
Srikanth B. Iyengar, Sarasij Maitra, Tim Tribone
In his work on the Bass series of syzygy modules of modules over a commutative noetherian local ring , Lescot introduces a numerical invariant, denoted , and asks whether…
A family of simplicial resolutions which are DG-algebras
James Cameron, Trung Chau, Sarasij Maitra +1
Each monomial ideal over a polynomial ring admits a free resolution which has the structure of a DG-algebra, namely, the Taylor resolution. A pivot resolution of a monomial ideal,…
Annihilators of (co)homology and their influence on the trace Ideal
Justin Lyle, Sarasij Maitra
Let be a commutative Noetherian local ring, and suppose is Cohen-Macaulay with canonical module . We develop new tools for analyzing questions involving…
Two Criteria For Quasihomogeneity
Sarasij Maitra, Vivek Mukundan
Let be a one-dimensional complete local reduced -algebra over a field of characteristic zero. The ring is said to be quasihomogeneous if there exists…
Extremal behavior of reduced type of one dimensional rings
Sarasij Maitra, Vivek Mukundan
Let be a domain that is a complete local algebra in dimension one. In an effort to address the Berger's conjecture, a crucial invariant reduced type was int…
Valuations and Nonzero Torsion in Module of Differentials
Sarasij Maitra, Vivek Mukundan
Let be a one-dimensional complete local reduced -algebra over a field of characteristic zero. R. Berger conjectured that is regular if and only if the…
Partial Trace Ideals, Torsion and Canonical Module
Sarasij Maitra
For any finitely generated module with non-zero rank over a commutative one dimensional Noetherian local domain, the numerical invariant was introduced and studied in th…
Torsion in Differentials and Berger's Conjecture
Craig Huneke, Sarasij Maitra, Vivek Mukundan
Let be an equicharacteristic one-dimensional complete local domain over an algebraically closed field of characteristic 0. R. Berger conj…
RandomPoints package for Macaulay2
Sankhaneel Bisui, Zhan Jiang, Sarasij Maitra +2
We present {\tt RandomPoints}, a package in \emph{Macaulay2} designed mainly to identify rational and geometric points in a variety over a finite field. We provide tools to estimat…
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.
Partial Trace Ideals And Berger's Conjecture
Sarasij Maitra
For any finitely generated module with non-zero rank over a commutative one-dimensional Noetherian local domain, we study a numerical invariant based on a…