The Coherent-Constructible Correspondence and Fourier-Mukai Transforms

Details The Coherent-Constructible Correspondence and Fourier-Mukai Transforms The Coherent-Constructible Correspondence and Fourier-Mukai Transforms

2010-09-17

arxiv.org/abs/1009.3506v1

Acta Math. Sin. (Engl. Ser.) 27 (2011), no.2, 275-308

Mathematics

Algebraic Geometry

34 pages, 11 figures; dedicated to Loo-Keng Hua on the occasion of his 100th birthday

Scientific paper

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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