Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: General elements in anticanonical systems of threefolds with divisorial
  contractions and applications to classification   We treat threefolds with divisorial contractions whose exceptional divisors
contract to compound Du Val points. We prove that general elements in their
anticanonical systems around the exceptional divisors have at worst Du Val
singularities. As applications to classification, we describe divisorial
contractions to compound A_n points, and moreover we conclude that
discrepancies of divisorial contractions to compound D_n or E_n points are at
most four.

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The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom
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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: supr-con
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The categories of this paper are: acc-phys
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ex
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The categories of this paper are: adap-org
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: nlin