Joydip Saha

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math.AC2025

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…

math.AC2025

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…

math.AC2024

Projective Closure of Semigroup Algebras

Joydip Saha, Indranath Sengupta, Pranjal Srivastava

This paper investigates the projective closure of simplicial affine semigroups in $N^{d}$ , $d \geq 2$ . We present a characterization of the Cohen-Macaulay property for the…