Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Computation of unirational fields (extended abstract)   In this paper we present an algorithm for computing all algebraic
intermediate subfields in a separably generated unirational field extension
(which in particular includes the zero characteristic case). One of the main
tools is Groebner bases theory. Our algorithm also requires computing computing
primitive elements and factoring over algebraic extensions. Moreover, the
method can be extended to finitely generated K-algebras.

27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph