Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Algorithmic local monomialization of a binomial: a comparison of
  different approaches   We investigate different approaches to transform a given binomial into a
monomial via blowing up appropriate centers. In particular, we develop explicit
implementations in {\sc Singular}, which allow to make a comparison on the
basis of numerous examples. We focus on a local variant, where centers are not
required to be chosen globally. Moreover, we do not necessarily demand that
centers are contained in the singular locus. Despite these restrictions, the
techniques are connected to the computation of $ p $-adic integral whose data
is given by finitely many binomials.

25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat