Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Neighborhoods of rational curves without functions   We prove the existence of (non compact) complex surfaces with a smooth
rational curve embedded such that there does not exist any formal singular
foliation along the curve. In particular, at arbitray small neighborhood of the
curve, any meromorphic function is constant. This implies that the Picard group
is not countably generated.

16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat