Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Distinguished varieties in the polydisc   We characterize all distinguished varieties in the polydisc $\mathbb D^n$ and
thus generalize the seminal work due to Agler and M\raise.45ex\hbox{c}Carthy on
distinguished varieties in the bidisc. We show that a distinguished variety in
$\mathbb D^n$ is a part of an affine algebraic curve which is a set-theoretic
complete intersection and can be represented by Taylor joint spectrum of $n-1$
commuting linear complex matrix pencils satisfying certain conditions.

1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
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The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess