Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Slope semistability of rank 2 Lazarsfeld-Mukai bundles on K3 surfaces
  and ACM line bundles   Previously, many people have studied a stability of vector bundles of given
rank and Chern classes on algebraic varieties. Recently, we are interested in
the slope stability of the rank 2 Lazarsfeld-Mukai bundle $E_{C,Z}$ on a K3
surface $X$ associated to a very ample smooth curve $C$ on $X$ and a base point
free pencil $Z$ on $C$ with respect to $\mathcal{O}_X(C)$. In this paper, we
will give a sufficient condition for such a Lazarsfeld-Mukai bundle $E_{C,Z}$
to be $\mathcal{O}_X(C)$-slope semistable by ACM line bundles with respect to
$\mathcal{O}_X(C)$.

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The categories of this paper are: adap-org
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The categories of this paper are: solv-int
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The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: nlin
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The categories of this paper are: comp-gas
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The categories of this paper are: q-alg
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The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
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The categories of this paper are: cond-mat
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The categories of this paper are: q-fin