Derived equivalence of holomorphic symplectic manifolds

Details Derived equivalence of holomorphic symplectic manifolds Derived equivalence of holomorphic symplectic manifolds

2004-04-20

arxiv.org/abs/math/0404365v1

in "Algebraic Structures and Moduli Spaces: CRM Workshop, Montreal 14-20 July 2003", CRM Proc. & Lecture Notes Series, vol. 38

Mathematics

Algebraic Geometry

19 pages, to appear in the proceedings of the Workshop on algebraic structures and moduli spaces, CRM Montreal, July 2003

Scientific paper

We use twisted Fourier-Mukai transforms to study the relation between an
abelian fibration on a holomorphic symplectic manifold and its dual fibration.
Our reasoning leads to an equivalence between the derived category of coherent
sheaves on one space and the derived category of twisted sheaves on the other
space.

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