Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Absolute bounds on the number of generators of Cohen-Macaulay ideals of
  height at most 2   For a Noetherian local domain $A$, there exists an upper bound $N_\tau(A)$ on
the minimal number of generators of any height two ideal $I$ for which $A/I$ is
Cohen-Macaulay of type $\tau$. More precisely, we may take
$N_\tau(A):=(\tau+1)e_{\text{h}}(A)$, where $e_{\text{h}}(A)$ is the
homological multiplicity of $A$.

17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin