Derived categories of twisted sheaves on elliptic threefolds

Andrei Caldararu
2002 Journal für die Reine und Angewandte Mathematik  
We construct an equivalence between the derived category of sheaves on an elliptic threefold without a section and a derived category of twisted sheaves (modules over an Azumaya algebra) on any small resolution of its relative Jacobian.
doi:10.1515/crll.2002.022 fatcat:3fbp6umepff5fl76cztnezn42i