Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bertini theorems and Lefschetz pencils over discrete valuation rings,
  with applications to higher class field theory   We show the existence of good hyperplane sections for schemes over discrete
valuation rings with good or (quasi) semistable reduction, and the existence of
good Lefschetz pencils for schemes with good reduction or ordinary quadratic
reduction. As an application we prove that the reciprocity map introduced for
smooth projective varieties over local fields by Bloch, Kato and Saito is an
isomorphism after profinite completion, if the variety has good reduction or
'almost good' reduction.

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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci
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The categories of this paper are: physics
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The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: funct-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
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The categories of this paper are: nlin
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ex