Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On expansions of the real field by complex subgroups   We construct a class of finite rank multiplicative subgroups of the complex
numbers such that the expansion of the real field by such a group is
model-theoretically well-behaved. As an application we show that a
classification of expansions of the real field by cyclic multiplicative
subgroups of the complex numbers due to Hieronymi does not even extend to
expansions by subgroups with two generators.

14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an