Equivalences of triangulated categories and Fourier-Mukai transforms

Abstract

We give a condition for an exact functor between triangulated categories to be an equivalence. Applications to Fourier-Mukai transforms are discussed. In particular, we obtain a large number of such transforms for K3 surfaces.

arXiv comment11 pages, to appear in Bull. Lond. Math. Soc

Cited by in corpus (2)

• Irreducibility of moduli spaces of vector bundles on K3 surfaces
• Some examples of isomorphisms induced by Fourier-Mukai functors