Saipriya Dubey

activity

20212025

collaborators

8 papers

math.AC2025

Waring decompositions of the product of two quadrics: the small rank cases

Meghana Bhat, Enrico Carlini, Saipriya Dubey +1

In this paper we study forms of the type $(x_{1}^{2} + \dots + x_{m}^{2}) (y_{1}^{2} + \dots + y_{n}^{2})$ using projections. For $m = 1, m = 2$ , and for any $n$ we describe: the forbidden locus, the stru…

math.AC2025

On the core and adjoint of the product of complete ideals in two-dimensional regular local rings

Clare D'Cruz, Saipriya Dubey, Jugal K. Verma

Using joint reductions of complete ideals, we find expressions for the core and adjoints of the product of complete ideals in a two-dimensional regular local ring. We also compute…

math.AC2025

Symmetric decomposition of the Hilbert function of an ideal

Meghana Bhat, Saipriya Dubey, Shreedevi K. Masuti

Let $(R, M)$ be a local ring over a field $k$ with $k = R / M$ and $J$ an ideal in $R$ such that $A = R / J$ is an Artinian Gorenstein (AG) $k$ -algebra. In 1989, A. I…

math.AC2024

On Gorensteinness of associated graded rings of filtrations

Meghana Bhat, Saipriya Dubey, Shreedevi K. Masuti +4

Let $(A, m)$ be a Gorenstein local ring, and $F = {F_{n}}_{n \in Z}$ a Hilbert filtration. In this paper, we give a criterion for Gorensteinness of the…

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.AC2022

Associated graded rings of the filtration of tight closure of powers of parameter ideals

Saipriya Dubey, Jugal K. Verma

Let $I$ be an ideal generated by a system of parameters in an excellent Cohen-Macaulay local domain. We show that the associated graded ring $G^{*} (I)$ of the filtration $\{(I^n)^*:…

math.AC2021

Tight Hilbert Polynomial and F-rational local rings

Saipriya Dubey, Pham Hung Quy, Jugal Verma

Let $(R, m)$ be a Noetherian local ring of prime characteristic $p$ and $Q$ be an $m$ -primary parameter ideal. We give criteria for F-rationality of $R$ using…

math.AC2021

Tight closure of powers of parameter ideals in hypersurface rings and their tight Hilbert polynomials

Saipriya Dubey, Vivek Mukundan, Jugal Verma

In this paper we find the tight closure of powers of parameter ideals of certain diagonal hypersurface rings. In many cases the associated graded ring with respect to tight closure…