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The Coherent-Constructible Correspondence and Fourier-Mukai Transforms

Published 17 Sep 2010 in math.AG | (1009.3506v1)

Abstract: 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 Rn. In this paper we investigate and reprove some of Kawamata's results from this perspective.

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