Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Grothendieck local duality and Cohomological Hasse principle   We prove a local duality for some schemes associated to a 2-dimensional
complete local ring whose residue field is an n-dimensional local field in the
sense of Kato-Parshin. Our results generalize the Saito works in the case n=0
and are applied to study the Bloch-Ogus complex for such rings in various
cases.

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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: nucl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: eess
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The categories of this paper are: supr-con
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The categories of this paper are: dg-ga
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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: astro-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: cond-mat
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The categories of this paper are: funct-an
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The categories of this paper are: nlin
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The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio