Dipankar Ghosh

activity

20242026

most citedOn the asymptotic behaviour of the Vasconcelos invariant for graded modules

4 citations · 4 across the 6 of their papers we have counts for

collaborators

7 papers

math.AC2026

Asymptotic Castelnuovo-Mumford regularity of (co)homology modules involving powers of ideals

Dipankar Ghosh, Ramakrishna Nanduri, Siddhartha Pramanik

Let $R$ be a Noetherian standard $N$ -graded ring, and let $I_{1}, \dots, I_{r}$ be homogeneous ideals of $R$ . Let $L, M$ , and $N$ be finitely generated $Z$ -graded $R$ -m…

math.AC2026

Complexity, curvature and homological dimension of modules under linkage

Subhadip Bhowmick, Dipankar Ghosh

In this article, we analyze how (projective and injective) complexity, curvature, and complete intersection dimension behave under linkage of modules and ideals. Let $R$ be a Goren…

math.AC2026

Asymptotic prime divisors and Vasconcelos invariant

Dipankar Ghosh, Ramakrishna Nanduri, Siddhartha Pramanik

Let $R$ be a Noetherian ring, $I$ an ideal of $R$ , and $M$ a finitely generated $R$ -module. In this article, we prove that $$\mathrm{Ass}_R(M/I^{n} M) = \mathrm{Ass}_R(0:_{M} I) \c…

math.AC2025

Coherent functors, powers of ideals, and asymptotic stability

Souvik Dey, Dipankar Ghosh, Siddhartha Pramanik +2

Let $R$ be a Noetherian ring, $I_{1}, \dots, I_{r}$ be ideals of $R$ , and $N \subseteq M$ be finitely generated $R$ -modules. Let $S = \bigoplus_{\underline{n} \in \mathbb{N}^r} S_{\under…

math.AC2024

Asymptotic v-numbers of graded (co)homology modules involving powers of an ideal

Dipankar Ghosh, Siddhartha Pramanik

Let $R$ be a Noetherian $N$ -graded ring. Let $L$ , $M$ and $N$ be finitely generated graded $R$ -modules with $N \subseteq M$ . For a homogeneous ideal $I$ , and for each fixe…

math.AC2024

Asymptotic behaviour of Vasconcelos invariants for products and powers of graded ideals

Luca Fiorindo, Dipankar Ghosh

Let $R$ be a commutative Noetherian $N$ -graded ring. Let $N \subseteq M$ be finitely generated $Z$ -graded $R$ -modules. Let $I_{1}, \dots, I_{r}$ be nonzero proper homog…

math.AC2024★ 4 cited

On the asymptotic behaviour of the Vasconcelos invariant for graded modules

Luca Fiorindo, Dipankar Ghosh

The notion of Vasconcelos invariant, known in the literature as v-number, of a homogeneous ideal in a polynomial ring over a field was introduced in 2020 to study the asymptotic be…