Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Motivic invariants of p-adic fields   We provide a complete analysis of the motivic Adams spectral sequences
converging to the bigraded coefficients of the 2-complete algebraic
Johnson-Wilson spectra BPGL<n> over p-adic fields. These spectra interpolate
between integral motivic cohomology (n=0), a connective version of algebraic
K-theory (n=1), and the algebraic Brown-Peterson spectrum. We deduce that, over
p-adic fields, the 2-complete BPGL<n> split over 2-complete BPGL<0>, implying
that the slice spectral sequence for BPGL collapses.
  This is the first in a series of two papers investigating motivic invariants
of p-adic fields, and it lays the groundwork for an understanding of the
motivic Adams-Novikov spectral sequence over such base fields.

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The categories of this paper are: astro-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
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The categories of this paper are: atom-ph
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The categories of this paper are: econ
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The categories of this paper are: chem-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
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The categories of this paper are: dg-ga
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The categories of this paper are: nlin
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ph