Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Singularities in arbitrary characteristic via jet schemes   This paper summarizes the results at the present moment about singularities
with respect to the Mather-Jacobian log discrepancies over algebraically closed
field of arbitrary characteristic. The basic point is the Inversion of
Adjunction with respect to Mather-Jacobian discrepancies holds in arbitrary
characteristic. Based on this fact we will reduce many geometric properties of
the singularities into the problem on jet schemes and try to avoid discussions
which are distinctive for characteristic 0.

3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph