Tangent Cones of Concatenated Numerical Semigroups
Commutative Algebra
2025-06-12 v1
Abstract
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 concatenation classes have Cohen-Macaulay tangent cones except the symmetric class, however, the symmetric class does satisfy Rossi's conjecture.
Cite
@article{arxiv.2506.09400,
title = {Tangent Cones of Concatenated Numerical Semigroups},
author = {Ranjana Mehta and Joydip Saha and Indranath Sengupta},
journal= {arXiv preprint arXiv:2506.09400},
year = {2025}
}