4 citations · 14 across the 20 of their papers we have counts for
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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…
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 using projections. For , and for any we describe: the forbidden locus, the stru…
Symmetric decomposition of the Hilbert function of an ideal
Meghana Bhat, Saipriya Dubey, Shreedevi K. Masuti
Let be a local ring over a field with and an ideal in such that is an Artinian Gorenstein (AG) -algebra. In 1989, A. I…
Artinian Gorenstein algebras with binomial Macaulay dual generator
Nasrin Altafi, Rodica Dinu, Sara Faridi +4
This paper initiates a systematic study for key properties of Artinian Gorenstein \(K\)-algebras having binomial Macaulay dual generators. In codimension 3, we demonstrate that all…
New families of Artinian Gorenstein algebras with the weak Lefschetz property
Nasrin Altafi, Rodica Dinu, Shreedevi K. Masuti +3
We construct new families of Artinian Gorenstein graded -algebras of arbitrary codimension having binomial Macaulay dual generators and satisfying the weak or the strong Lefsche…
Hilbert-Kunz multiplicity of powers of ideals in dimension two
Alessandro De Stefani, Shreedevi K. Masuti, Maria Evelina Rossi +1
We study the behavior of the Hilbert-Kunz multiplicity of powers of an ideal in a local ring. In dimension two, we provide answers to some problems raised by Smirnov, and give a cr…
On Gorensteinness of associated graded rings of filtrations
Meghana Bhat, Saipriya Dubey, Shreedevi K. Masuti +4
Let be a Gorenstein local ring, and a Hilbert filtration. In this paper, we give a criterion for Gorensteinness of the…
On the Hilbert function of Artinian local complete intersections of codimension three
Joachim Jelisiejew, Shreedevi K. Masuti, M. E. Rossi
In singularity theory or algebraic geometry, it is natural to investigate possible Hilbert functions for special algebras such as local complete intersections or more generally…
The Waring rank of binary binomial forms
Laura Brustenga i Moncusí, Shreedevi K. Masuti
We give an explicit formula for the Waring rank of every binary binomial form with complex coefficients. We give several examples to illustrate this, and compare the Waring rank an…
On the structure of the Sally module and the second normal Hilbert coefficient
Shreedevi K. Masuti, Kazuho Ozeki, Maria Evelina Rossi +1
The Hilbert coefficients of the normal filtration give important geometric information on the base ring like the pseudo-rationality. The Sally module was introduced by W.V. Vasconc…
A filtration of the Sally module and the First normal Hilbert Coefficient
Shreedevi K. Masuti, Kazuho Ozeki, Maria Evelina Rossi
The Sally module of an ideal is an important tool to interplay between Hilbert coefficients and the properties of the associated graded ring. In this paper we give new insights on…
The Structure of the Inverse System of Level -Algebras
Shreedevi K. Masuti, Laura Tozzo
Macaulay's inverse system is an effective method to construct Artinian K-algebras with additional properties like, Gorenstein, level, more generally with any socle type. Recently,…
On the finiteness of the set of Hilbert coefficients
Shreedevi K. Masuti, Kumari Saloni
Let be a Noetherian local ring of dimension and be -primary ideals in In this paper we study the finiteness properties of the sets $Λ_i^K(R):=\{g_i^K(Q):…
Artinian level algebras of socle degree 4
Shreedevi K. Masuti, Maria Evelina Rossi
In this paper we study the O-sequences of the local (or graded) -algebras of socle degree More precisely, we prove that an O-sequence , where $h_4…
Symbolic Blowup algebras and invariants of certain monomial curves in an affine space
Clare D'Cruz, Shreedevi K. Masuti
Let and be integers such that Let be the defining ideal of the monomial curve in parametrized by $(…
Variations on the Grothendieck-Serre Formula for Hilbert functions and their applications
Shreedevi K. Masuti, Parangama Sarkar, J. K. Verma
In this expository paper we present proofs of Grothendieck-Serre Formula for multi-graded algebras and Rees algebras for admissible multi-graded filtrations. As applications, we de…
On conjectures of Itoh and of Lipman on the cohomology of normalized blow-ups
Manoj Kummini, Shreedevi K. Masuti
Let be a Noetherian three-dimensional Cohen-Macaulay analytically unramified ring and an -primary -ideal. Write $X = \mathrm{Proj}\l…
Local Cohomology of Multi-Rees Algebras with Applications to Joint Reductions and Complete Ideals
Shreedevi K. Masuti, Tony J. Puthenpurakal, J. K. Verma
In this paper, we obtain a generalization, in dimension , of a theorem of David Rees about joint reductions of the bigraded filtration of complete ${\ma…
An extension of Rees theorem and two interpretations of a vector in the joint reduction lattice
Clare D'Cruz, Shreedevi K. Masuti
In \cite{rees} Rees gave a characterization for the normal joint reduction number zero of two $\m$-primary ideals in an analytically unramified Cohen-Macaulay local ring of dimensi…
Local Cohomology of Bigraded Rees Algebras and Normal Hilbert Coefficients
Shreedevi K. Masuti, J. K. Verma
Let $(R,\m)$ be an analytically unramified Cohen-Macaulay local ring of dimension 2 with infinite residue field and $\ov{I}$ be the integral closure of an ideal in . Necessa…
Normal Hilbert Polynomials : A survey
Mousumi Mandal, Shreedevi Masuti, J. K. Verma
We survey some of the major results about normal Hilbert polynomials of ideals. We discuss a formula due to Lipman for complete ideals in regular local rings of dimension two, theo…