Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Leray spectral sequence for complements of certain arrangements of
  smooth submanifolds   Let Z be an arrangement of submanifolds in a complex compact algebraic
manifold X. We allow some kind of singular intersections. We consider the Leray
spectral sequence of the embedding of the U=X-Z into X and formulate a
condition sufficient for degeneration of this spectral sequence on E_3-table.

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The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci
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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: supr-con
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The categories of this paper are: quant-ph
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The categories of this paper are: stat
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The categories of this paper are: alg-geom
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The categories of this paper are: gr-qc
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The categories of this paper are: eess
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-lat
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ex