Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Infinitesimal Theory of Chow Groups via K-theory, Cyclic Homology and
  the Relative Chern Character   We examine the tangent groups at the identity, and more generally the formal
completions at the identity, of the Chow groups of algebraic cycles on a
nonsingular quasiprojective algebraic variety over a field of characteristic
zero. We settle a question recently raised by Mark Green and Phillip Griffiths
concerning the existence of Bloch-Gersten-Quillen-type resolutions of algebraic
K-theory sheaves on infinitesimal thickenings of nonsingular varieties, and the
relationships between these sequences and their "tangent sequences," expressed
in terms of absolute K\"ahler differentials. More generally, we place Green and
Griffiths' concrete geometric approach to the infinitesimal theory of Chow
groups in a natural and formally rigorous structural context, expressed in
terms of nonconnective K-theory, negative cyclic homology, and the relative
algebraic Chern character

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The categories of this paper are: q-bio
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The categories of this paper are: nucl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: stat
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The categories of this paper are: cond-mat
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The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: bayes-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: econ
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The categories of this paper are: hep-th
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The categories of this paper are: astro-ph
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The categories of this paper are: supr-con
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The categories of this paper are: physics
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The categories of this paper are: patt-sol
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The categories of this paper are: ao-sci