Suprajo Das

activity

20192026

collaborators

8 papers

math.AC2026

Numerical characterizations for integral dependence of graded modules

Suprajo Das, Sudeshna Roy, Vijaylaxmi Trivedi

In this paper we construct {\em adic}, {\em saturated} and $ε$ -density functions for a torsion-free module in a graded setup. Then we give some simple criteria for checki…

math.AC2024

Numerical characterizations for integral dependence of graded ideals

Suprajo Das, Sudeshna Roy, Vijaylaxmi Trivedi

Let $R = \oplus_{m \geq 0} R_{m}$ be a standard graded equidimensional ring over a field $R_{0}$ , and $I \subseteq J$ be two non-nilpotent graded ideals in $R$ . Then we give a set of numeri…

math.AC2024

Computing epsilon multiplicities in graded algebras

Suprajo Das, Saipriya Dubey, Sudeshna Roy +1

This article investigates the computational aspects of the $ε$ -multiplicity. Primarily, we show that the $ε$ -multiplicity of a homogeneous ideal $I$ in a two-di…

math.AC2023

Density functions for epsilon multiplicity and families of ideals

Suprajo Das, Sudeshna Roy, Vijaylaxmi Trivedi

A density function for an algebraic invariant is a measurable function on $R$ which measures the invariant on an $R$ -scale. This function carries a lot more infor…

math.AC2021

Finitely generated saturated multi-Rees algebras

Suprajo Das, Sudeshna Roy

We study the question of finite generation of saturated multi-Rees algebras and investigate the asymptotic behaviour of related length functions. In the setup of excellent local do…

math.AC2020

Epsilon multiplicity for Noetherian graded algebras

Suprajo Das

The notion of epsilon multiplicity was originally defined by Ulrich and Validashti as a limsup and they used it to detect integral dependence of modules. It is important to know if…

math.AC2020

An inequality in mixed multiplicities

Suprajo Das

The theory of mixed multiplicities of (not necessarily Noetherian) filtrations of $m_{R}$ -primary ideals in a Noetherian local ring $R$ , has been developed by Cutkosky, Sarkar and Sr…

math.AC2019

Epsilon multiplicity for graded algebras

Suprajo Das

The notion of $ε$ -multiplicity was originally defined by Ulrich and Validashti as a limsup and they used it to detect integral dependence of modules. It is important to k…