Higher dimensional Enriques varieties and automorphisms of generalized Kummer varieties
By Samuel Boissière, Marc A. Nieper-Wisskirchen, A. Sarti. 2010
75 citations recorded by the source corpus.
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.
Subfields: Geometry and Topology, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/6abbdb880ecf66cea3f59595893fcae973008c32
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Geometry and Topology
In Statistical and Nonlinear Physics
Citations in the corpus
- Classification of automorphisms on a deformation family of hyper-Kähler four-folds by $p$-elementary lattices (2014, background): “The interest in automorphisms of IHS manifold has grown up extremely in the last years (see [5, 12, 26, 33, 8, 9]) especially the study of automorphisms of prime order on IHS fourfolds deformation equivalent to the Hilbert scheme of two points on a K3 surface, that we call for short IHS−K3([2]).”
- Symplectic involutions on deformations of K3[2] (2011, result): “Some general work on automorphisms and birational maps was done by Oguiso [21], Boissière [4] and Boissière and Sarti [6], while order 2 automorphisms were analyzed by Beauville [2] and Camere [7].”