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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Showing 2024 · math.ACShow all

3 papers · 2 filters

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…