Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Affine surfaces with a huge group of automorphisms   We describe a family of rational affine surfaces S with huge groups of
automorphisms in the following sense: the normal subgroup of Aut(S) generated
by all its algebraic subgroups is not generated by any countable family of such
subgroups, and the quotient of Aut(S) by this subgroup contains a free group
over an uncountable set of generators.

31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin