M. Bhat

collaborators

3 papers

math.AC2026

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.AC2026

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.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…