Real multiplication on K3 surfaces and Kuga Satake varieties

dc.creatorvan Geemen, Bert
dc.date2006-09-29
dc.date.accessioned2026-07-07T07:25:26Z
dc.date.available2026-07-07T07:25:26Z
dc.descriptionThe endomorphism algebra of a K3 type Hodge structure is a totally real field or a CM field. In this paper we give a low brow introduction to the case of a totally real field. We give existence results for the Hodge structures, for their polarizations and for certain K3 surfaces. We consider the Kuga Satake variety of these Hodge structures and we discuss some examples. Finally we indicate various open problems related to the Hodge conjecture.
dc.identifierhttps://arxiv.org/abs/math/0609839
dc.identifierhttp://arxiv.org/abs/math/0609839
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/116715
dc.subjectAlgebraic Geometry
dc.titleReal multiplication on K3 surfaces and Kuga Satake varieties
dc.typetext

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