Vijaylaxmi Trivedi

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20182024

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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.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.AC2018

Density function for the second coefficient of the Hilbert-Kunz function

Mandira Mondal, Vijaylaxmi Trivedi

We prove that, analogous to the HK density function, (used for studying the Hilbert-Kunz multiplicity, the leading coefficient of the HK function), there exists a $β$ -density funct…