基于 Gr"obner 基的射影单项式曲线 Cohen-Macaulay 判据
交换代数
2019-09-17 v2 代数几何
摘要
我们证明了基于 Gr"obner 基的射影单项式曲线 Cohen-Macaulay 性质的新刻画。
引用
@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}
}
备注
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