Partha Phukan

collaborators

2 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

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 in a Noetherian $N$ -graded Noetherian domain, $\lim\lim…

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

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

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