In this paper we classify non-symplectic automorphisms of order eight on complex K3 surfaces in case that the fourth power of the automor- phism has only rational curves in its fixed locus. We show that the fixed locus is the disjoint union of a rational curve and ten isolated points or it consists in four isolated fixed points. We give examples corresponding to the case with a rational curve in the fixed locus and to the case with only isolated points in the fixed locus.
Al Tabbaa, D., Grossi, A., Sarti, A. (2021). Symmetries of order eight on K3 surfaces without high genus curves in the fixed locus. Providence, Rhode Island : Paola Comparin, Eduardo Esteves, Herbert Lange, Sebastián Reyes-Carocca, Rubí E. Rodríguez [10.1090/conm/766/15370].
Symmetries of order eight on K3 surfaces without high genus curves in the fixed locus
Grossi, Annalisa;Sarti, Alessandra
2021
Abstract
In this paper we classify non-symplectic automorphisms of order eight on complex K3 surfaces in case that the fourth power of the automor- phism has only rational curves in its fixed locus. We show that the fixed locus is the disjoint union of a rational curve and ten isolated points or it consists in four isolated fixed points. We give examples corresponding to the case with a rational curve in the fixed locus and to the case with only isolated points in the fixed locus.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
