Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On superheight conditions for the affineness of open subsets   In this paper we consider the open complement U of a hypersurface Y=V(a) in
an affine scheme X. We study the relations between the affineness of U, the
intersection of Y with closed subschemes, the property that every closed
surface in U is affine, the property that every analytic closed surface is
Stein and the superheight of the defining ideal a.

13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex