The coherent-constructible correspondence and Fourier-Mukai transforms

Bohan Fang*, Chiu Chu Melissa Liu, David Treumann, Eric Zaslow

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)275-308
Number of pages34
JournalActa Mathematica Sinica, English Series
Issue number2
StatePublished - Feb 2011


  • Fourier-Mukai transforms
  • Toric orbifolds
  • coherent sheaves
  • constructible sheaves

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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