Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonresonance conditions for arrangements   We prove a vanishing theorem for the cohomology of the complement of a
complex hyperplane arrangement with coefficients in a complex local system.
This result is compared with other vanishing theorems, and used to study Milnor
fibers of line arrangements, and hypersurface arrangements.

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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
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The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
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The categories of this paper are: hep-lat
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The categories of this paper are: econ
10
The categories of this paper are: q-bio
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The categories of this paper are: adap-org
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The categories of this paper are: quant-ph
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The categories of this paper are: q-fin
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The categories of this paper are: eess
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The categories of this paper are: funct-an
1
The categories of this paper are: cs
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The categories of this paper are: plasm-ph