Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Normality and quadraticity for special ample line bundles on toric
  varieties arising from root systems   We prove that special ample line bundles on toric varieties arising from root
systems are projectively normal. Here the maximal cones of the fans correspond
to the Weyl chambers, and special means that the bundle is torus-equivariant
such that the character of the line bundle that corresponds to a maximal Weyl
chamber is dominant with respect to that chamber. Moreover, we prove that the
associated semigroup rings are quadratic.

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The categories of this paper are: cond-mat
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
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The categories of this paper are: q-alg
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The categories of this paper are: adap-org
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The categories of this paper are: hep-lat
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The categories of this paper are: ao-sci
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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: comp-gas
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The categories of this paper are: hep-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: plasm-ph