Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Chern Numbers of Smooth Varieties via Homotopy Continuation and
  Intersection Theory   Homotopy continuation provides a numerical tool for computing the equivalence
of a smooth variety in an intersection product. Intersection theory provides a
theoretical tool for relating the equivalence of a smooth variety in an
intersection product to the degrees of the Chern classes of the variety. A
combination of these tools leads to a numerical method for computing the
degrees of Chern classes of smooth projective varieties in P^n. We illustrate
the approach through several worked examples.

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The categories of this paper are: adap-org
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The categories of this paper are: physics
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The categories of this paper are: q-bio
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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: hep-th
0
The categories of this paper are: hep-ph
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The categories of this paper are: q-alg
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The categories of this paper are: supr-con
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The categories of this paper are: comp-gas
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The categories of this paper are: funct-an
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The categories of this paper are: econ
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The categories of this paper are: mtrl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: gr-qc