Enriques manifolds

2010/01/27 by Oguiso, Keiji, Schroeer, Stefan · 5 citations
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1001.4912

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.

Cited by

• Bridgeland stability conditions on some higher-dimensional Calabi--Yau manifolds and generalized Kummer varieties
• Deformations of primitive Enriques varieties
• A note on the Nielsen realization problem for Enriques manifolds
• Galois covers of Calabi-Yau manifolds
• Inducing coverings on Hilbert schemes

Related

• Relative compactified Jacobians of linear systems on Enriques surfaces
• Periods of Enriques Manifolds
• Higher dimensional Enriques varieties and automorphisms of generalized Kummer varieties
• Smoothing of multiple structures on embedded Enriques manifolds
• Enriques surfaces with trivial Brauer map and involutions on hyperkähler manifolds