Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On automorphisms of quasi-circular domains fixing the origin   It is known that automorphisms of quasi-circular domains fixing the origin
are polynomial mappings. By introducing the so-called resonance order and
quasi-resonance order, we provide a uniform upper bound for the degree of such
polynomial automorphisms. As a particular consequence of our result, we obtain
a generalization of the classical Cartan's theorem for circular domains to the
quasi-circular case.

30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc