Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Moduli of Admissible Pairs for Arbitrary Dimension, I: Resolution   A procedure resolving a torsion-free coherent sheaf on a nonsingular
$N$-dimensional projective algebraic variety into a locally free sheaf on a
projective scheme of certain class is proposed. This is a higher-dimensional
analog of the resolution (called the standard resolution in previous works of
the author) of coherent sheaves on a surface.
  Bibliography: 23 items
  Keywords: moduli space, algebraic coherent sheaves, admissible pairs, vector
bundles, nonsingular algebraic variety, projective algebraic variety, moduli of
vector bundles, compactification of moduli.

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The categories of this paper are: physics
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The categories of this paper are: q-bio
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The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: supr-con
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The categories of this paper are: econ
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The categories of this paper are: nlin
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The categories of this paper are: adap-org
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The categories of this paper are: ao-sci
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The categories of this paper are: q-alg
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The categories of this paper are: hep-th
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The categories of this paper are: hep-lat