Non-symplectic automorphisms of order 3 on K3 surfaces

By M. Artebani, A. Sarti. 2008

88 citations recorded by the source corpus.

In this paper we study K3 surfaces with a non-symplectic automorphism of order 3. In particular, we classify the topological structure of the fixed locus of such automorphisms and we show that it determines the action on cohomology. This allows us to describe the structure of the moduli space and to show that it has three irreducible components.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/f1245065b073ffc2af5e456b575c230d09b97dc4

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

1. C. Camere
2. Samuel Boissière
3. A. Sarti
4. Giovanni Mongardi
5. Giancarlo Urzúa

In Mathematical Physics

1. C. Camere
2. Samuel Boissière
3. A. Sarti
4. Giovanni Mongardi

Citations in the corpus

• Classification of automorphisms on a deformation family of hyper-Kähler four-folds by $p$-elementary lattices (2014, background): “In the case of K3 surfaces, they also determine completely the topology of the fixed locus (see [1, 2]).”