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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.AC2024
Cohen-Macaulay Property of Binomial Edge Ideals with Girth of Graphs
Kamalesh Saha, Indranath Sengupta
Conca and Varbaro (Invent. Math. 221 (2020), no. 3) showed the equality of depth of a graded ideal and its initial ideal in a polynomial ring when the initial ideal is square-free.…
math.AC2024
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…