Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Logarithmic Akizuki--Nakano vanishing theorems on weakly pseudoconvex
  K\"{a}hler manifolds   In this note, we obtain a logarithmic vanishing theorem on certain weakly
pseudoconvex K\"ahler manifolds. It is a generalization of Norimatsu's result
on compact K\"ahler manifolds. As a direct corollary, we obtain relative
vanishing theorems of certain direct image sheaves.

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The categories of this paper are: comp-gas
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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: cs
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The categories of this paper are: astro-ph
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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: chem-ph
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The categories of this paper are: math-ph
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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: supr-con
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-th
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The categories of this paper are: cond-mat
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The categories of this paper are: funct-an