Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Around the uniform rationality I   We prove that there exist rational but not uniformly rational smooth
algebraic varieties. The proof is based on computing a certain numerical
obstruction developed in the case of compactifications of affine spaces. We
show that for some particular compactifications this obstruction behaves
differently compared to the uniformly rational situation.

14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg