Van Geemen-Sarti involutions and elliptic fibrations on K3 surfaces double cover of P-2

Comparin, Paola; Garbagnati, Alice

Abstract

In this paper we classify the elliptic fibrations on K3 surfaces which are the double cover of a blow up of P-2 branched along rational curves and we give equations for many of these elliptic fibrations. Thus we obtain a classification of the van Geemen-Sarti involutions (which are symplectic involutions induced by a translation by a 2-torsion section on an elliptic fibration) on such a surface. Each van Geemen-Sarti involution induces a 2-isogeny between.two K3 surfaces, which is described in this paper.

Más información

Título según WOS: ID WOS:000335094800006 Not found in local WOS DB
Título de la Revista: JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN
Volumen: 66
Número: 2
Editorial: MATH SOC JAPAN
Fecha de publicación: 2014
Página de inicio: 479
Página final: 522
DOI:

10.2969/jmsj/06620479

Notas: ISI