English

Cohen-Macaulay criteria for projective monomial curves via Gr\"obner bases

Commutative Algebra 2019-09-17 v2 Algebraic Geometry

Abstract

We prove new characterizations based on Gr\"obner bases for the Cohen-Macaulay property of a projective monomial curve.

Keywords

Cite

@article{arxiv.1803.08961,
  title  = {Cohen-Macaulay criteria for projective monomial curves via Gr\"obner bases},
  author = {Jürgen Herzog and Dumitru I. Stamate},
  journal= {arXiv preprint arXiv:1803.08961},
  year   = {2019}
}

Comments

15 pages; v2: simplified proof of Theorem 1.2; corrected the statement of Proposition 2.4 and other misprints. Published in the Special Issue "The Prospects for Commutative Algebra" of Acta Math. Vietnamica, 2019