Enriques manifolds

TL;DR

This paper extends the concept of Enriques surfaces to higher-dimensional manifolds using hyperkähler theory, providing new examples through group actions on complex geometric structures.

Contribution

It introduces a higher-dimensional generalization of Enriques surfaces and constructs explicit examples via group actions on Hilbert schemes and moduli spaces.

Findings

Generalization of Enriques surfaces to higher dimensions.

Construction of new examples using group actions.

Application of hyperkähler manifold theory.

Abstract

Using the theory of hyperkahler manifolds, we generalize the notion of Enriques surfaces to higher dimensions and construct several examples using group actions on Hilbert schemes of points or moduli spaces of stable sheaves.