Francia's flip and derived categories

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.

23pages

References in corpus (3)

• Semiorthogonal decomposition for algebraic varieties
• Twisted jets, motivic measure and orbifold cohomology
• Mukai implies McKay: the McKay correspondence as an equivalence of derived categories

Cited by in corpus (9)

• Derived categories of coherent sheaves
• Log Crepant Birational Maps and Derived Categories
• Parabolic refined invariants and Macdonald polynomials
• D-Branes on Toric Calabi-Yau Varieties
• K-equivalence in Birational Geometry
• Sheaves on local Calabi-Yau varieties
• Derived equivalences and Kodaira fibers
• Donaldson-Thomas invariants of Calabi-Yau orbifolds under flops
• Note on the Bondal-Orlov Functors for Toric DM Stacks