The core of zero-dimensional monomial ideals

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• 作者：Claudia Polini ; Bernd Ulrich ; Marie A. Vitulli
• 关键词：Cores ; Monomial ideals ; Reductions ; Rees algebras ; Canonical modules ; Adjoints ; Coefficient ideals
• 刊名：Advances in Mathematics
• 出版年：2007
• 出版时间：1 May 2007
• 年：2007
• 卷：211
• 期：1
• 页码：72-93
• 全文大小：242 K

文摘

The core of an ideal is the intersection of all its reductions. We describe the core of a zero-dimensional monomial ideal I as the largest monomial ideal contained in a general reduction of I. This provides a new interpretation of the core in the monomial case as well as an efficient algorithm for computing it. We relate the core to adjoints and first coefficient ideals, and in dimension two and three we give explicit formulas.