English

Betti numbers for certain Cohen-Macaulay tangent cones

Commutative Algebra 2018-10-03 v2 Algebraic Geometry

Abstract

In this article, we compute Betti numbers for a Cohen-Macaulay tangent cone of a monomial curve in the affine 44-space corresponding to a pseudo symmetric numerical semigroup. As a byproduct, we also show that for these semigroups, being of homogeneous type and homogeneous are equivalent properties.

Cite

@article{arxiv.1803.07287,
  title  = {Betti numbers for certain Cohen-Macaulay tangent cones},
  author = {Mesut Şahin and Nil Şahin},
  journal= {arXiv preprint arXiv:1803.07287},
  year   = {2018}
}

Comments

Bull. Aust. Math. Soc. published online

R2 v1 2026-06-23T00:58:31.045Z