Algebraic deformations and Fourier--Mukai transforms for Calabi--Yau manifolds

Abstract

Given a pair of derived-equivalent Calabi--Yau manifolds of dimension more than two, we prove that the derived equivalence can be extended to general fibers of versal deformations. As an application, we give a new proof of the Pfaffian--Grassmannian derived equivalence.

13 pages, To appear in Proceedings of the AMS