5 citations · 5 across the 4 of their papers we have counts for
7 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…
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.
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.
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…