Mousumi Mandal

collaborators

4 papers

math.AC2026

A comparison of the v-number of a monomial ideal and its integral closure

Prativa Biswas, Mousumi Mandal, Partha Phukan

Let $I$ be a monomial ideal in a standard graded polynomial ring and let $I$ denote its integral closure. We study the relationship between $v (I)$ and $\mathrm{…

math.AC2026

Bounds on the second Hilbert coefficient and the depth of the associated graded ring

Clare D'Cruz, Mousumi Mandal, Shruti Priya

Let $(R, m)$ be a Noetherian local ring of dimension $d \geq 1$ with $depth R \geq d - 1,$ and let $I$ be an $m$ -primary ideal. In this paper, we study b…

math.AC2026

Asymptotic $v$ -number of graded families of ideals and the Newton-Okounkov region

Mousumi Mandal, Partha Phukan

In this paper, we prove that for Noetherian graded families $I = {I_{k}}_{k \geq 0}$ of homogeneous ideals, $k \to \infty lim \frac{v ( I _{k} )}{k}$ exists,…

math.AC2026

Lattice points arising from regularity and $v$ -number of Graphs: Whisker and Cameron-Walker

Prativa Biswas, Mousumi Mandal, Kamalesh Saha

Let $G$ be a simple graph on $n$ vertices and $I (G) \subseteq R$ be its edge ideal. In this paper, we initiate the study of determining lattice points in $N^{2}$ that appear…

A comparison of the v-number of a monomial ideal and its integral closure

Bounds on the second Hilbert coefficient and the depth of the associated graded ring

Asymptotic v-number of graded families of ideals and the Newton-Okounkov region

Lattice points arising from regularity and v-number of Graphs: Whisker and Cameron-Walker

Asymptotic $v$ -number of graded families of ideals and the Newton-Okounkov region

Lattice points arising from regularity and $v$ -number of Graphs: Whisker and Cameron-Walker