Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rigid characterizations of pseudoconvex domains   We prove that an open set $D$ in $\C^n$ is pseudoconvex if and only if for
any $z\in D$ the largest balanced domain centered at $z$ and contained in $D$
is pseudoconvex, and consider analogues of that characterization in the
linearly convex case.

20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph