Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reduction of Singularities of Three-Dimensional Line Foliations   We give a birational reduction of singularities for one dimensional
foliations in ambient spaces of dimension three. To do this, we first prove the
existence of a Local Uniformization in the sense of Zariski. The reduction of
singularities is then obtained by a gluing procedure for Local Uniformization
similar to Zariski's one, using an axiomatization of Zariski's work by Olivier
Piltant.

7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con