Francia's flip and derived categories
Yujiro Kawamata
TL;DR
This paper extends Bondal-Orlov's results on derived category equivalences to orbifolds by utilizing the category of coherent orbifold sheaves, broadening the understanding of derived categories in geometric contexts.
Contribution
It introduces a framework for derived category equivalences in orbifolds using coherent orbifold sheaves, expanding prior results to new geometric settings.
Findings
Established derived equivalences for orbifolds
Developed the theory of coherent orbifold sheaves
Extended Bondal-Orlov results to orbifold cases
Abstract
We extend some of the results of Bondal-Orlov on the equivalence of derived categories to the case of orbifolds by using the category of coherent orbifold sheaves.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Homotopy and Cohomology in Algebraic Topology