Sudeshna Roy

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20232026

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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.AC2025

Invariants of toric double determinantal rings

Jennifer Biermann, Emanuela De Negri, Oleksandra Gasanova +2

We study a class of double determinantal ideals denoted $I_{mn}^{r}$ , which are generated by minors of size 2, and show that they are equal to the Hibi rings of certain finite distri…

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…