Periods of Enriques Manifolds

Abstract

Enriques manifolds are complex spaces whose universal coverings are hyperkaehler manifolds. We introduce period domains for Enriques manifolds, establish a local Torelli theorem, and apply period maps in various situations, involving punctual Hilbert schemes, moduli spaces of stable sheaves, and Mukai flops.

19 pages, minor changes, dedicated to the memory of Eckart Viehweg, to appear in Pure Appl. Math. Q