Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Coherent-Constructible Correspondence and Fourier-Mukai Transforms   In arXiv:math/0311139, as evidence for his conjecture in birational log
geometry, Kawamata constructed a family of derived equivalences between toric
orbifolds. In arXiv:0911.4711, we showed that the derived category of a toric
orbifold is naturally identified with a category of polyhedrally-constructible
sheaves on R^n. In this paper we investigate and reprove some of Kawamata's
results from this perspective.

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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: econ
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The categories of this paper are: chao-dyn
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The categories of this paper are: math-ph
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: comp-gas
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The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: cond-mat
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The categories of this paper are: eess