7 citations · 13 across the 17 of their papers we have counts for
24 papers
Tangent Cones of Concatenated Numerical Semigroups
Ranjana Mehta, Joydip Saha, Indranath Sengupta
We study the tangent cone at the origin and the Hilbert series for a family of numerical semigroups generated by concatenation of arithmetic sequences. We prove that all the concat…
Tangent Cones of Bresinsky and Arslan Curves
Ranjana Mehta, Joydip Saha
In this paper, we study the Apery tables for the numerical semigroups given by Bresinsky and Arslan. Using the Apery tables we write the tangent cones of the Bresinsky and Arsalan…
Projective Closure of Semigroup Algebras
Joydip Saha, Indranath Sengupta, Pranjal Srivastava
This paper investigates the projective closure of simplicial affine semigroups in , . We present a characterization of the Cohen-Macaulay property for the…
Join of affine semigroups
Joydip Saha, Indranath Sengupta, Pranjal Srivastava
In this paper, we study the class of affine semigroup generated by integral vectors, whose components are in generalised arithmetic progression and we observe that the defining ide…
Derivation module and its Poincaré series of the projective closure of certain affine curves
Joydip Saha, Indranath Sengupta, Pranjal Srivastava
Our aim in this paper is to compute the Poincaré series of the derivation module of the projective closure of certain affine monomial curves.
On the Associated Graded ring of Semigroup Algebras
Joydip Saha, Indranath Sengupta, Pranjal Srivastava
In this paper, we give the necessary and sufficient conditions for the Cohen-Macaulayness of the associated graded ring of a simplicial affine semigroups using Gröbner basis. We ge…
Numerical Semigroups with unique Apery expansions II
Joydip Saha, Gaurab Tripathi
In this paper, we carry out a fairly comprehensive study of special classes of numerical semigroups, and their tangent cones, generated by the sequence of partial sums of an arithm…
Unboundedness of the first and the last Betti numbers of Numerical Semigroups Generated by Concatenation
Ranjana Mehta, Joydip Saha, Indranath Sengupta
We show that the minimal number of generators and the Cohen-Macaulay type of a family of numerical semigroups generated by concatenation of arithmetic sequences is unbounded.
Projective Closure of Affine Monomial Curves II
Joydip Saha, Indranath Sengupta, Pranjal Srivastava
In this paper our aim is twofold. First, we introduce the notion of star gluing of numerical semigroups and show that arithmetically Cohen-Macaulay and Gorenstein properties of the…
ASL structures of some quadrics
Joydip Saha, Indranath Sengupta
Let be a field and , denote matrices such that, the entries of are either indeterminates over or and the entries of are indeterminates over which are…
Numerical Semigroups with unique Apéry expansions
Sudip Pandit, Joydip Saha, Indranath Sengupta
In this paper, we carry out a fairly comprehensive study of two special classes of numerical semigroups, one generated by the sequence of partial sums of an arithmetic progression…
Projective closures of affine monomial curves
Joydip Saha, Indranath Sengupta, Pranjal Srivastava
We study the projective closures of three important families of affine monomial curves in dimension , namely the Backelin curve, the Bresinsky curve and the Arslan curve, in ord…
A Conjectural Inequality for Visible Points in Lattice Parallelograms
Gabriel Khan, Mizan R. Khan, Joydip Saha +1
Let , with and . Let denote the lattice parallelogram spanned by and , that is, $$P_{a,n} = \left\{ t_1(1,0)+ t_2(…
Derivation modules for Sum and Gluing
Joydip Saha, Indranath Sengupta
In this paper we explicitly compute the derivation module of quotients of polynomial rings by ideals formed by the sum or by some other gluing technique. We discuss cases of monomi…
Moh's example of algebroid space curves
Ranjana Mehta, Joydip Saha, Indranath Sengupta
In this paper we revisit the family of algebroid space curves defined by Moh and find an explicit minimal generating set for the defining ideal.
Quadrics defined by skew-symmetric matrices
Joydip Saha, Indranath Sengupta, Gaurab Tripathi
In this paper we propose a model for computing a minimal free resolution for ideals of the form , where is an skew-symmetric matrix with inde…
Almost Maximal Numerical Semigroups formed by Concatenation of Arithmetic Sequences
Ranjana Mehta, Joydip Saha, Indranath Sengupta
We study numerical semigroups with the property "multiplicity= embedding dimension+1", generated by concatenation of arithmetic sequences.
Numerical Semigroups Generated by Concatenation of Arithmetic Sequences
Ranjana Mehta, Joydip Saha, Indranath Sengupta
We introduce the notion of numerical semigroups generated by concatenation of arithmetic sequences and show that this class of numerical semigroups exhibit multiple interesting beh…
Betti numbers of Bresinsky's curves in
Ranjana Mehta, Joydip Saha, Indranath Sengupta
Bresinsky defined a class of monomial curves in with the property that the minimal number of generators or the first Betti number of the defining ideal is unbounde…
Transversal Intersection of Monomial Ideals
Joydip Saha, Indranath Sengupta, Gaurab Tripathi
In this paper we prove conditions for transversal intersection of monomial ideals and derive a simplicial characterization of this phenomenon.
-sequence and Regular sequence of Quadrics
Joydip Saha, Indranath Sengupta, Gurab Tripathi
Let be a field and , denote matrices such that, the entries of are either indeterminates over or and the entries of are indeterminates over which are…
Transversal Intersection and Sum of Polynomial Ideals
Joydip Saha, Indranath Sengupta, Gaurab Tripathi
In this paper we derive some conditions for transversal intersection of polynomial ideals. We exhibit some examples. Finally, as an application of the results proved, we compute th…
Primary decomposition and normality of certain determinantal ideals
Joydip Saha, Indranath Sengupta, Gaurab Tripathi
In this paper we study primality and primary decomposition of certain ideals which are generated by homogeneous degree polynomials and occur naturally from determinantal condit…
Ideals of the form
Joydip Saha, Indranath Sengupta, Gaurab Tripathi
In this paper we compute Gröbner bases for determinantal ideals of the form , where and are both matrices whose entries are indeterminates over a field . We u…