Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Higher-rank Brill-Noether loci on nodal reducible curves   In this paper we deal with Brill-Noether theory for higher-rank sheaves on a
polarized nodal reducible curve $(C,\underline{w})$ following the ideas of
[arXiv:alg-geom/9511003v1]. We study the Brill-Noether loci of
$\underline{w}$-stable depth one sheaves on $C$ having rank $r$ on all
irreducible components and having small slope. In analogy with what happens in
the smooth case, we prove that these loci are closely related to BGN
extensions. Moreover, we produce irreducible components of the expected
dimension for these Brill-Noether loci.

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The categories of this paper are: quant-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-lat
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The categories of this paper are: math-ph
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The categories of this paper are: adap-org
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The categories of this paper are: nlin
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The categories of this paper are: q-fin
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The categories of this paper are: acc-phys
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The categories of this paper are: ao-sci
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The categories of this paper are: atom-ph
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The categories of this paper are: q-alg
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The categories of this paper are: physics
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The categories of this paper are: nucl-ex