A stable property of Borel type ideals
Mircea Cimpoeas
Abstract
In this paper, we extend a result of Eisenbud-Reeves-Totaro in the frame of ideals of Borel type.
Table of Contents
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A stable property of Borel type ideals
Authors
Mircea Cimpoeas
Abstract
In this paper, we extend a result of Eisenbud-Reeves-Totaro in the frame of ideals of Borel type.
Paper Structure
This paper contains 2 sections, 7 theorems, 6 equations.
Table of Contents
Key Result
Lemma 4
Let $I\subset S$ be an ideal and $I'=IS'$ the extension of $I$ in $S'=S[x_{n+1}]$. If $e\geq deg(I)$, then $I_{\geq e}$ is stable if and only if $I'_{\geq e}$ is stable.
Theorems & Definitions (16)
- Definition 1
- Remark 2
- Remark 3
- Lemma 4
- proof
- Lemma 5
- proof
- Theorem 6
- proof
- Proposition 7
- ...and 6 more