Derived Categories of Twisted Sheaves on Elliptic Threefolds
Algebraic Geometry
2007-05-23 v3
Abstract
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.
Keywords
Cite
@article{arxiv.math/0012083,
title = {Derived Categories of Twisted Sheaves on Elliptic Threefolds},
author = {Andrei Caldararu},
journal= {arXiv preprint arXiv:math/0012083},
year = {2007}
}
Comments
19 pages, 1 figure, LaTeX 2e, corrected misprint in Prop. 2.1, all statements now hold without the Calabi-Yau condition