Saipriya Dubey

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20212025

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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…