Hodge loci and absolute Hodge classes

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dc.creatorVoisin, Claire
dc.date2006-05-30
dc.date.accessioned2026-07-07T07:14:39Z
dc.date.available2026-07-07T07:14:39Z
dc.descriptionWe combine Deligne's global invariant cycle theorem, and the algebraicity theorem of Cattani, Deligne and Kaplan, for the connected components of the locus of Hodge classes, to conclude that under simple assumptions these components are defined over number fields (assuming the initial family is), as expected from the Hodge conjecture. We also show that the Hodge conjecture for (weakly) absolute Hodge classes reduces to the Hodge conjecture for (weakly) absolute Hodge classes on varieties defined over number fields.
dc.identifierhttps://arxiv.org/abs/math/0605766
dc.identifierhttp://arxiv.org/abs/math/0605766
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112964
dc.subjectAlgebraic Geometry
dc.subject14C30, 14F40
dc.titleHodge loci and absolute Hodge classes
dc.typetext

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