Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Toward a geometric construction of fake projective planes   We give a criterion for a projective surface to become a quotient of a fake
projective plane. We also give a detailed information on the elliptic fibration
of a $(2,3)$-elliptic surface that is the minimal resolution of a quotient of a
fake projective plane. As a consequence, we give a classification of ${\mathbb
Q}$-homology projective planes with cusps only.

17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con