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 journalArticle

3 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)275-308
Number of pages34
JournalActa Mathematica Sinica, English Series
Volume27
Issue number2
DOIs
StatePublished - Jan 20 2011

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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