Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Characterization of some projective subschemes by locally free
  resolutions   A locally free resolution of a subscheme is by definition an exact sequence
consisting of locally free sheaves (except the ideal sheaf) which has
uniqueness properties like a free resolution. The purpose of this paper is to
characterize certain locally Cohen-Macaulay subschemes by means of locally free
resolutions. First we achieve this for arithmetically Buchsbaum subschemes.
This leads to the notion of an $\Omega$-resolution and extends a result of
Chang. Second we characterize quasi-Buchsbaum subschemes by means of weak
$\Omega$-resolutions. Finally, we describe the weak $\Omega$-resolutions which
belong to arithmetically Buchsbaum surfaces of codimension two. Various
applications of our results are given.

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The categories of this paper are: q-fin
34
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: nucl-ex
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The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
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The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: bayes-an
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The categories of this paper are: atom-ph
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The categories of this paper are: econ
4
The categories of this paper are: cond-mat
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The categories of this paper are: solv-int
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The categories of this paper are: adap-org
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The categories of this paper are: alg-geom