Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Motives and representability of algebraic cycles on threefolds over a
  field   We study links between algebraic cycles on threefolds and
finite-dimensionality of their motives with coefficients in Q. We decompose the
motive of a non-singular projective threefold X with representable algebraic
part of CH_0(X) into Lefschetz motives and the Picard motive of a certain
abelian variety, isogenous to the corresponding intermediate Jacobian J^2(X)
when the ground field is C. In particular, it implies motivic
finite-dimensionality of Fano threefolds over a field. We also prove
representability of zero-cycles on several classes of threefolds fibered by
surfaces with algebraic H^2. This gives another new examples of
three-dimensional varieties whose motives are finite-dimensional.

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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci
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The categories of this paper are: chem-ph
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The categories of this paper are: q-alg
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The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
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The categories of this paper are: quant-ph
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The categories of this paper are: adap-org
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The categories of this paper are: supr-con
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The categories of this paper are: patt-sol
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The categories of this paper are: alg-geom
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The categories of this paper are: nlin
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The categories of this paper are: nucl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-ex