Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Stable Bundles of Ranks 2 and 3 on P^3   We study rank 3 stable bundles E on P^3 as extensions of a line bundle B on a
smooth surface S in P^3 by the direct sum of three copies of O_{P^3}(-\nu). In
most cases, S (the dependency locus of three sections of E(\nu)) lies in the
Noether-Lefschetz locus. We give a detailed analysis when S contains a line L
and B is constructed from divisors of the form aL+bC for H=L+C a hyperplane
section of S. We study the parameter space of this construction and compare it
to the full (Gieseker-Maruyama) moduli space. We also analyse the case when B
is a power of the hyperplane bundle. The same approach is used to study rank 2
bundles on P^3.

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The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: adap-org
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-lat
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The categories of this paper are: atom-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: supr-con
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The categories of this paper are: stat