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

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

2011-10-04

arxiv.org/abs/1110.0795v1

Mathematics

Commutative Algebra

3 pages

Scientific paper

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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