Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exposing boundary points of strongly pseudoconvex subvarieties in
  complex spaces   We prove that all locally exposable points in a Stein compact in a complex
space can be exposed along a given curve to a given real hypersurface.
Moreover, the exposing map for a boundary point can be sufficiently close to
the identity map outside any fixed neighborhood of the point. We also prove a
parametric version of this result for bounded strongly pseudoconvex domains in
$\mathbb C^n$. For a bounded strongly pseudoconvex domain in $\mathbb C^n$ and
a given boundary point of it, we prove that there is a global coordinate change
on the closure of the domain which is arbitrarily close to the identity map
with respect to the $C^1$-norm and maps the boundary point to a strongly convex
boundary point.

24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
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
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin