Fourier-Mukai transforms for quotient varieties (Q1676426)

As noticed in the footnote of the beginning, this article is the largely unedited version of the manuscript appeared on the arXiv in 1998 [\url{arXiv:math/9811101}]. In this paper derived equivalences for smooth projective varieties with finite-order canonical bundles. The main result is Theorem 4.5, which says that any such equivalence has a lift to Fourier-Mukai transforms between the canonical covers. Applying this statement to the surface case, several new derived equivalences are constructed for minimal projective surfaces, namely for Enriques surfaces and bielliptic surfaces.