Sudeshna Roy

activity

20162026

most citedOn derived functors of graded local cohomology modules-II

10 citations · 20 across the 6 of their papers we have counts for

collaborators

6 papers

math.AC2026

Asymptotic behaviour of bigraded components of local cohomology modules

Rajsekhar Bhattacharyya, Tony J. Puthenpurakal, Sudeshna Roy +1

Let $C$ be a commutative Noetherian ring containing a field $K$ of characteristic zero. Let $R = C [X_{1}, \dots, X_{n}, Y_{1}, \dots, Y_{m}]$ be a polynomial ring over $C$ with $\mathrm{bi…

math.AC2023

Computing mixed multiplicities, mixed volumes, and sectional Milnor numbers

Kriti Goel, Vivek Mukundan, Sudeshna Roy +1

This is an expository version of our paper [arXiv:1902.07384]. Our aim is to present recent Macaulay2 algorithms for computation of mixed multiplicities of ideals in a Noetherian r…

math.AC2023

Graded components of local cohomology modules of $C$ -monomial ideals in characteristic zero

Tony J. Puthenpurakal, Sudeshna Roy

Let $A$ be a commutative Noetherian ring of characteristic zero and $R = A [X_{1}, \dots, X_{d}]$ be a polynomial ring over $A$ with the standard $N^{d}$ -grading. Let $I\subseteq…

math.AC2022

Graded components of local cohomology modules supported on $C$ -monomial ideals

Tony J. Puthenpurakal, Sudeshna Roy

Let $A$ be a Dedekind domain of characteristic zero such that its localization at every maximal ideal has mixed characteristic with finite residue field. Let $R = A [X_{1}, \dots, X_{n}]$ …

math.AC2019★ 10 cited

On derived functors of graded local cohomology modules-II

Tony J. Puthenpurakal, Sudeshna Roy, Jyoti Singh

Let $R = K [X_{1}, \dots, X_{n}]$ where $K$ is a field of characteristic zero, and let $A_{n} (K)$ be the $n^{t h}$ Weyl algebra over $K$ . We give standard grading on $R$ and $A_{n} (K)$ . Let $I…

math.AC2016★ 10 cited

On derived functors of Graded local cohomology modules

Tony J. Puthenpurakal, Jyoti Singh

Let $K$ be a field of characteristic zero and let $R = K [X_{1}, \dots, X_{n}]$ , with standard grading. Let $m = (X_{1}, \dots, X_{n})$ and let $E$ be the $^{*}$ injective hull of $R…