Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Walker Abel-Jacobi map descends   For a complex projective manifold, Walker has defined a regular homomorphism
lifting Griffiths' Abel-Jacobi map on algebraically trivial cycle classes to a
complex abelian variety, which admits a finite homomorphism to the Griffiths
intermediate Jacobian. Recently Suzuki gave an alternate, Hodge-theoretic,
construction of this Walker Abel-Jacobi map. We provide a third construction
based on a general lifting property for surjective regular homomorphisms, and
prove that the Walker Abel-Jacobi map descends canonically to any field of
definition of the complex projective manifold. In addition, we determine the
image of the l-adic Bloch map restricted to algebraically trivial cycle classes
in terms of the coniveau filtration.

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The categories of this paper are: dg-ga
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The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-th
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The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
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The categories of this paper are: chem-ph
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-th
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The categories of this paper are: q-bio
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The categories of this paper are: supr-con
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The categories of this paper are: mtrl-th