Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weakly complete domains in Grauert type surfaces   The aim of this short note is to investigate the geometry of weakly complete
subdomains of Grauert type surfaces, i.e. open connected sets D, sitting inside
a Grauert type surface X, which admit a smooth plurisubharmonic exhaustion
function. We prove that they are either modifications of Stein spaces or
Grauert type surfaces themselves and we apply these results to the special case
of Hopf surfaces.

23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph