Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tits-type alternative for certain groups acting on algebraic surfaces   A theorem of Cantat and Urech says that an analog of the classical Tits
alternative holds for the group of birational automorphisms of a compact
complex Kaehler surface. We established in our previous paper the following
Tits-type alternative: if X is a toric affine variety and G is a subgroup of
Aut(X) generated by a finite set of unipotent subgroups normalized by the
acting torus then either G contains a nonabelian free subgroup or G is a
unipotent affine algebraic group. In the present paper we extend the latter
result to any group G of automorphisms of a complex affine surface generated by
a finite collection of unipotent algebraic subgroups. It occurs that either G
contains a nonabelian free subgroup or G is a metabelian unipotent algebraic
group.

17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
16
The categories of this paper are: stat
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics