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arXiv · 1009.3506

The Coherent-Constructible Correspondence and Fourier-Mukai Transforms

Bohan Fang·Chiu-Chu Melissa Liu·David Treumann·Eric Zaslow
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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 R^n. In this paper we investigate and reprove some of Kawamata's results from this perspective.

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Bohan Fang, Chiu-Chu Melissa Liu, David Treumann, Eric Zaslow. 2010-09-17. The Coherent-Constructible Correspondence and Fourier-Mukai Transforms. https://arxiv.org/abs/1009.3506

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