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arXiv · 1110.0795

On the degree function coefficient of a simple complete ideal in dimension two

Raymond Debremaeker
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Abstract

Let $(R,\mathfrak{M})$ be a two-dimensional regular local ring with algebraically closed residue field. Let $I$ be a simple complete $\mathfrak{M}$-primary ideal of $R$ and let $w$ denote its unique Rees valuation. Then the degree function coefficient $d(I,w)=1$. In this note a short proof of this result is given.

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Raymond Debremaeker. 2011-10-04. On the degree function coefficient of a simple complete ideal in dimension two. https://arxiv.org/abs/1110.0795

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