Derived Categories of Twisted Sheaves on Elliptic Threefolds
Abstract
Description
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.
19 pages, 1 figure, LaTeX 2e, corrected misprint in Prop. 2.1, all statements now hold without the Calabi-Yau condition
19 pages, 1 figure, LaTeX 2e, corrected misprint in Prop. 2.1, all statements now hold without the Calabi-Yau condition