Hodge structures of CM-type

dc.creatorAbdulali, Salman
dc.date2006-01-03
dc.date.accessioned2026-07-07T06:58:30Z
dc.date.available2026-07-07T06:58:30Z
dc.descriptionWe show that any effective Hodge structure of CM-type occurs (without having to take a Tate twist) in the cohomology of some CM abelian variety over C. As a consequence we get a simple proof of the theorem (due to Hazama) that the usual Hodge conjecture for the class of all CM abelian varieties implies the general Hodge conjecture for the same class.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/math/0601052
dc.identifierhttp://arxiv.org/abs/math/0601052
dc.identifierJournal of the Ramanujan Mathematical Society 20 (2005), 155-162
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107380
dc.subjectAlgebraic Geometry
dc.subject14C30; 14K22
dc.titleHodge structures of CM-type
dc.typetext

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