Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Syntomic cohomology and $p$-adic motivic cohomology   We prove a mixed characteristic analog of the Beilinson-Lichtenbaum
Conjecture for p-adic motivic cohomology. It gives a description, in the stable
range, of p-adic motivic cohomology (defined using algebraic cycles) in terms
of differential forms. This generalizes a result of Geisser from small Tate
twists to all twists and uses as a critical new ingredient the comparison
theorem between syntomic complexes and p-adic nearby cycles proved recently in
Colmez-Niziol.

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The categories of this paper are: q-fin
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The categories of this paper are: acc-phys
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The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin