Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Polyhedral Divisors and Algebraic Torus Actions   We provide a complete description of normal affine varieties with effective
algebraic torus action in terms of what we call proper polyhedral divisors on
semiprojective varieties. Our theory extends classical cone constructions of
Dolgachev, Demazure and Pinkham to the multigraded case, and it comprises the
theory of affine toric varieties.

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The categories of this paper are: hep-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: econ
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The categories of this paper are: adap-org
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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: mtrl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: plasm-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: patt-sol
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The categories of this paper are: alg-geom
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The categories of this paper are: funct-an
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The categories of this paper are: comp-gas
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The categories of this paper are: atom-ph
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The categories of this paper are: q-bio