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

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3 papers · 1 filter

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…