Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local-to-global computation of integral bases without a previous
  factorization of the discriminant   We adapt an old local-to-global technique of Ore to compute, under certain
mild assumptions, an integral basis of a number field without a previous
factorization of the discriminant of the defining polynomial. In a first phase,
the method yields as a by-product successive splittings of the discriminant.
When this phase concludes, it requires a squarefree factorization of some base
factors of the discriminant to terminate.

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The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex