Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Canonical divisors on T-varieties   Generalising toric geometry we study compact varieties admitting lower
dimensional torus actions. In particular we describe divisors on them in terms
of convex geometry and give a criterion for their ampleness. These results may
be used to study Fano varieties with small torus actions. As a first result we
classify log del Pezzo C*-surfaces of Picard number 1 and Gorenstein index less
than 4. In further examples we show how classification might work in higher
dimensions and we give explicit descriptions of some equivariant smoothings of
Fano threefolds.

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The categories of this paper are: bayes-an
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The categories of this paper are: solv-int
1
The categories of this paper are: cs
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The categories of this paper are: q-fin
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-th
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The categories of this paper are: eess
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The categories of this paper are: q-alg
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The categories of this paper are: cond-mat
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The categories of this paper are: alg-geom
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The categories of this paper are: stat
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The categories of this paper are: math-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: nlin