Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gorenstein $\mathbb{Q}$-homology projective planes   We present the complete list of all singularity types on Gorenstein
$\mathbb{Q}$-homology projective planes, i.e., normal projective surfaces of
second Betti number one with at worst rational double points. The list consists
of $58$ possible singularity types, each except two types supported by an
example.

25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph