Abstract
As evidence for his conjecture in birational log geometry, Kawamata constructed a family of derived equivalences between toric orbifolds. In a previous paper, the authors 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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Dedicated to Professor Hua Loo-keng on his 100th birth anniversary
The work of EZ is supported in part by NSF/DMS-0707064
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Fang, B., Liu, CC.M., Treumann, D. et al. The coherent-constructible correspondence and Fourier-Mukai transforms. Acta. Math. Sin.-English Ser. 27, 275–308 (2011). https://doi.org/10.1007/s10114-011-0462-4
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DOI: https://doi.org/10.1007/s10114-011-0462-4