Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bogomolov Instability and Kawamata-Viehweg Vanishing   The purpose of this note is to show how the Kawamata-Viehweg vanishing
theorem for fractional divisors leads to a quick new proof of Bogomolov's
instability theorem for rank two vector bundles on an algebraic surface.

17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
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The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
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The categories of this paper are: atom-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: eess
3
The categories of this paper are: physics
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex