Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hypersurface singularities in positive characteristic   The paper is motivated on the open problem of resolution of singularities in
positive characteristic. The aim is to present a form of induction which is
different from that used by Hironaka. In characteristic zero induction is
formulated by restriction to smooth hypersurfaces (hypersurfaces of maximal
contact). Our alternative approach, introduced here, replaces restrictions to
smooth sub-schemes by generic projections on smooth schemes of smaller
dimension. We also introduce a generalization of the discriminant, and our
result makes use of the elimination theory. In the case of fields of
characteristic zero, elimination gives exactly the same information as the form
of induction used by Hironaka.

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The categories of this paper are: stat
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
18
The categories of this paper are: econ
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The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an
3
The categories of this paper are: physics