Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Singularities in positive characteristic, stratification and
  simplification of the singular locus   We introduce an upper semi-continuous function that stratifies the highest
multiplicity locus of a hypersurface in arbitrary characteristic (over a
perfect field). The blow-up along the maximum stratum defined by this function
leads to a form of simplification of the singularities, also known as a
reduction to the monomial case.

18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph