Parangama Sarkar

activity

20242026

collaborators

4 papers

math.AC2026

Epsilon multiplicity, multiplicity=volume formula and analytic spread of family of ideals

Parangama Sarkar

In an analytically unramified local ring $(R, m)$ of dimension $d \geq 1$ , for a filtration of ideals $I = {I_{m}}_{m \in N}$ satisfying $A (r)$ co…

math.AC2025

$v$ -numbers of integral closure filtrations of monomial ideals

Vanmathi A, Parangama Sarkar

In this article, we investigate the $v$ -numbers of powers of monomial ideals and their integral closures in a polynomial ring $S$ . We provide an alternative proof fo…

math.AC2025

Multiplicities of weakly graded families of ideals

Parangama Sarkar

In this article, we extend the notion of multiplicity for weakly graded families of ideals which are bounded below linearly. In particular, we show that the limit $e_W(\mathfrak{I}…

math.AC2024

$v$ -numbers of symbolic power filtrations

Vanmathi A, Parangama Sarkar

We study the asymptotic behaviour of $v$ -number and local $v$ -numbers of Noetherian generalized symbolic power filtrations $I = {I_{n}}$ in a Noetherian $N$ -graded d…

Epsilon multiplicity, multiplicity=volume formula and analytic spread of family of ideals

v-numbers of integral closure filtrations of monomial ideals

Multiplicities of weakly graded families of ideals

v-numbers of symbolic power filtrations

$v$ -numbers of integral closure filtrations of monomial ideals

$v$ -numbers of symbolic power filtrations