Higher dimensional Enriques varieties and automorphisms of generalized Kummer varieties

Abstract

We define Enriques varieties as a higher dimensional generalization of Enriques surfaces and construct examples by using fixed point free automorphisms on generalized Kummer varieties. We also classify all automorphisms of generalized Kummer varieties that come from an automorphism of the underlying abelian surface.

Final version, to appear in Journal de Mathematiques Pures et Appliquees

References in corpus (3)

• Tits alternative in hypekähler manifolds
• Twisted cohomology of the Hilbert schemes of points on surfaces
• A note on automorphisms and birational transformations of holomorphic symplectic manifolds

Cited by in corpus (1)

• Hodge theory and Lagrangian planes on generalized Kummer fourfolds