Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Unramified cohomology, integral coniveau filtration and Griffiths group   We prove that the degree k unramified cohomology with torsion coefficients of
a smooth complex projective variety X with small CH_0(X) has a filtration of
length [k/2], whose first piece is the torsion part of the quotient of the
degree k+1 integral singular cohomology by its coniveau 2 subgroup, and whose
next graded piece is controlled by the Griffiths group Griff^{k/2+1}(X) when k
is even and is related to the higher Chow group CH^{(k+3)/2}(X, 1) when k is
odd. The first piece is a generalization of the Artin-Mumford invariant (k=2)
and the Colliot-Thelene-Voisin invariant (k=3). We also give an analogous
result for certain H-cohomology groups.

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The categories of this paper are: cmp-lg
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: quant-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-fin
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The categories of this paper are: astro-ph
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The categories of this paper are: cs
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The categories of this paper are: hep-lat
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The categories of this paper are: physics
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The categories of this paper are: cond-mat
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The categories of this paper are: dg-ga
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The categories of this paper are: q-bio
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The categories of this paper are: comp-gas