Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Good ideals and $p_g$-ideals in two-dimensional normal singularities   In this paper, we introduce the notion of $p_g$-ideals and $p_g$-cycles,
which inherits nice properties of integrally closed ideals on rational
singularities. As an application, we prove an existence of good ideals for
two-dimensional Gorenstein normal local rings. Moreover, we classify all Ulrich
ideals for two-dimensional simple elliptic singularities with small degree.

17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg