Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The syntomic regulator for K-theory of fields   We define complexes analogous to Goncharov's complexes for the K-theory of
discrete valuation rings of characteristic zero. Under suitable assumptions in
K-theory, there is a map from the cohomology of those complexes to the K-theory
of the ring. In case the ring is the localization of the ring of integers in a
number field, there are no assumptions necessary. We compute the composition of
our map to the K-theory with the syntomic regulator. The result can be
described in terms of a p-adic polylogarithm. Finally, we apply our theory in
order to compute the regulator to syntomic cohomology on Beilinson's cyclotomic
elements. The result is again given by the p-adic polylogarithm. This last
result is related to one by Somekawa and generalizes work by Gros.

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The categories of this paper are: mtrl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-ex
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The categories of this paper are: stat
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The categories of this paper are: atom-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: alg-geom
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The categories of this paper are: chao-dyn
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: physics
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The categories of this paper are: nlin
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The categories of this paper are: eess
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The categories of this paper are: plasm-ph