Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Every bordered Riemann surface is a complete proper curve in a ball   We prove that every bordered Riemann surface admits a complete proper
holomorphic immersion into a ball of C^2, and a complete proper holomorphic
embedding into a ball of C^3.

31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc