Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Simple Constructive Weak Factorization   We give a simplified algorithm of the functorial weak factorization of
birational morphisms of nonsingular varieties over a field of characteristic
zero into a composite of blow-ups and blow-downs with smooth centers.

31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an