Logarithmic Enriques varieties

Abstract

We introduce logarithmic Enriques varieties as a singular analogue of Enriques manifolds, generalizing the notion of log-Enriques surfaces introduced by Zhang. We focus mainly on the properties of the subfamily of log-Enriques varieties that admit a quasi-etale cover by a singular symplectic variety and we give many examples.

minor improvements, to appear in Beitraege zur Algebra und Geometrie