Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: 3-fold divisorial extremal neighborhoods over cE7 and cE6 Compound DuVal
  singularities   Let X be the germ of a Gorenstein 3-fold singularity and C a smooth curve
through it such that the general hyperplane section S of X containing D is
DuVal of type E6 or E7. In this paper we obtain criteria for the existence of a
terminal divisorial extremal neighborhood f: Y-->X contracting an irreducible
divisor E onto C and classify all such neighborhoods.

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The categories of this paper are: bayes-an
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The categories of this paper are: q-alg
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The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
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The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
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The categories of this paper are: ao-sci
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The categories of this paper are: plasm-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
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The categories of this paper are: hep-lat