Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Characteristic 0 and p analogies, and some motivic cohomology   The purpose of this survey is to explain some recent results about analogies
between characteristic 0 and characteristic $p>0$ geometry, and to discuss an
infinitesimal variant of motivic cohomology.
  More specifically, we review results showing that the big de Rham Witt
complex of a field is a complex of 0-cycles (section 2), as well as results
showing analogies between char. $p>0$ and char. 0 geometry. Some of those
results determine local cohomology invariants of singular varieties (section 3)
and others are concerned with congruences modulo $q$-powers for the number of
rational points of varieties defined over $\F_q$ (section 1).

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The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
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The categories of this paper are: funct-an
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
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The categories of this paper are: nlin
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The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg