Tangent cones of concatenated numerical semigroups
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.
Fields of Study & Subjects
Commutative Algebra and Its Applications
Polynomial and algebraic computation
Advanced Banach Space Theory
Publication details
- Journal / source
- Communications in Algebra
- Pages
- 1–19
- Publication date
- 8 April 2026
- Language
- EN