Mathematics – Algebraic Geometry
Scientific paper
2005-09-09
Adv. Math. 218 (2008), no. 3, 828-864
Mathematics
Algebraic Geometry
40 pages
Scientific paper
We apply the methods of C{\u{a}}ld{\u{a}}raru to construct a twisted Fourier-Mukai transform between a pair of holomorphic symplectic four-folds. More precisely, we obtain an equivalence between the derived category of coherent sheaves on a certain four-fold and the derived category of twisted sheaves on its `mirror' partner. As corollaries, we show that the two spaces are connected by a one-parameter family of deformations through Lagrangian fibrations, and we extend the original Fourier-Mukai transform to degenerations of abelian surfaces.
No associations
LandOfFree
Twisted Fourier-Mukai transforms for holomorphic symplectic fourfolds does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Twisted Fourier-Mukai transforms for holomorphic symplectic fourfolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Twisted Fourier-Mukai transforms for holomorphic symplectic fourfolds will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-464751