Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Atiyah-Chern Character yields the Semiregularity Map as well as the
  Infinitesimal Abel-Jacobi Map   We construct a general semiregularity map for cycles on a complex analytic or
algebraic manifold and show that such semiregularity map can be obtained from
the classical tool of the Atiyah-Chern character. The first part of the paper
is fairly detailed, deducing the existence and explicit form of a generalized
semiregularity map from known results and constructions. We obtain as well a
description of the infinitesimal Abel-Jacobi map for smooth cycles as the
leading term of this generalized semiregularity map, indicate why for locally
complete intersections the appropriate component of our semiregularity map
coincides with the one constructed by Bloch, and give applications to embedded
deformations and deformations of coherent modules.

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The categories of this paper are: econ
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The categories of this paper are: hep-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: stat
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The categories of this paper are: physics
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-bio
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The categories of this paper are: plasm-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-lat
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The categories of this paper are: supr-con
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The categories of this paper are: mtrl-th
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The categories of this paper are: atom-ph