The coherent-constructible correspondence and Fourier-Mukai transforms |
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Authors: | Bohan Fang Chiu-Chu Melissa Liu David Treumann Eric Zaslow |
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Affiliation: | [1]Department of Mathematics, Columbia University, 2990 Broadway, New York, NY 10027, USA [2]Department of Mathematics, Northwestervt University, 2033 Sheridan Road, Evanston, IL 60208, USA |
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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 ℝ n . In this paper we investigate and reprove some of Kawamata’s results from this perspective. |
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Keywords: | Toric orbifolds coherent sheaves constructible sheaves Fourier-Mukai transforms |
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