Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the degree function coefficient of a simple complete ideal in
  dimension two   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.

19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci