Complex Multiplication for K3 Surfaces

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dc.creatorRizov, Jordan
dc.date2005-07-31
dc.date.accessioned2026-07-07T05:22:08Z
dc.date.available2026-07-07T05:22:08Z
dc.descriptionIn this note we prove analogues of the main theorems of complex multiplication for abelian varieties for K3 surfaces. This is done by studying the field of definition of the period morphism for complex K3 surfaces. More precisely we relate the moduli spaces of primitively polarized K3 surfaces with level structures over $\Q$, constructed using algebraic stacks, to the canonical model of the Shimura variety associated to $\SO(2,19)$.
dc.description30 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/math/0508018
dc.identifierhttp://arxiv.org/abs/math/0508018
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75943
dc.subjectAlgebraic Geometry
dc.subjectNumber Theory
dc.titleComplex Multiplication for K3 Surfaces
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