Derived Categories of Twisted Sheaves on Elliptic Threefolds

Details Derived Categories of Twisted Sheaves on Elliptic Threefolds Derived Categories of Twisted Sheaves on Elliptic Threefolds

2000-12-11

arxiv.org/abs/math/0012083v3

Mathematics

Algebraic Geometry

19 pages, 1 figure, LaTeX 2e, corrected misprint in Prop. 2.1, all statements now hold without the Calabi-Yau condition

Scientific paper

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.

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