Higher dimensional Enriques varieties and automorphisms of generalized Kummer varieties

TL;DR

This paper introduces higher dimensional Enriques varieties, constructs examples via automorphisms on generalized Kummer varieties, and classifies automorphisms originating from abelian surfaces, expanding understanding of complex algebraic varieties.

Contribution

It defines higher dimensional Enriques varieties, constructs explicit examples, and classifies automorphisms from abelian surfaces, advancing the theory of complex algebraic varieties.

Findings

Construction of higher dimensional Enriques varieties.

Classification of automorphisms from abelian surfaces.

Examples of fixed point free automorphisms on 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.