M. Bhat

activity

20242026

collaborators

5 papers

math.AC2026

On the variety of sum of powers of certain complete intersection forms

Meghana Bhat, Ronnie Sebastian

Let $F$ be a homogeneous polynomial (form). If the annihilator ideal $F^{⊥}$ is a complete intersection, then $F$ is called as a complete intersection form. For many complete int…

math.AC2026

Waring rank of certain complete intersection forms

Meghana Bhat, Enrico Carlini, Shreedevi K. Masuti +1

The complete intersection forms are the homogeneous polynomials whose annihilator ideal or the Macaulay dual, is an Artinian complete intersection ideal. In this paper, we compute…

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

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…