Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Algebraic structures of groups of birational transformations   A priori, the set of birational transformations of an algebraic variety is
just a group. We survey the possible algebraic structures that we may add to
it, using in particular parametrised family of birational transformations.

31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ