Tangent Cone of Numerical Semigroup Rings of Embedding Dimension Three

Abstract

In this paper, we give new characterizations of the Buchsbaum and Cohen-Macaulay properties of the tangent cone $\gr_\frakm(R)$, where $(R,\frakm)$ is a numerical semigroup ring of embedding dimension 3. In particular, we confirm the conjectures raised by Sapko on the Buchsbaumness of $\gr_\frakm(R)$.

arXiv comment18 pages. Title is modified and discussion of embedding dimension 4 case is dropped. Accepted to the Communications in Algebra

Cited by in corpus (1)

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