Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Vanishing theorems   We prove some injectivity, torsion-free, and vanishing theorems for simple
normal crossing pairs. Our results heavily depend on the theory of mixed Hodge
structures on compact support cohomology groups. We also treat several basic
properties of semi divisorial log terminal pairs.

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The categories of this paper are: solv-int
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The categories of this paper are: quant-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: hep-lat
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The categories of this paper are: patt-sol
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The categories of this paper are: gr-qc
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The categories of this paper are: bayes-an
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The categories of this paper are: stat
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The categories of this paper are: chao-dyn
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The categories of this paper are: atom-ph
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The categories of this paper are: math-ph
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The categories of this paper are: nlin
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The categories of this paper are: q-alg
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The categories of this paper are: hep-th
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The categories of this paper are: eess