A generalization of the Kuga-Satake construction

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dc.creatorVoisin, Claire
dc.date2005-03-07
dc.date.accessioned2026-07-07T05:17:44Z
dc.date.available2026-07-07T05:17:44Z
dc.descriptionThe Kuga-Satake construction associates to a K3 type polarized weight 2 Hodge structure H an abelian variety A such that H is a quotient Hodge structure of H^2(A). The first step is to consider the Clifford algebra of H. It turns out that it is endowed with a weight 2 Hodge structure compatible with the algebra structure. We show more generally that a weight 2 polarized Hodge structure which carries a compatible (unitary, associative) algebra structure is a quotient of the H^2 of an abelian variety.
dc.identifierhttps://arxiv.org/abs/math/0503122
dc.identifierhttp://arxiv.org/abs/math/0503122
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74418
dc.subjectAlgebraic Geometry
dc.subject14K10, 14C30, 32G20
dc.titleA generalization of the Kuga-Satake construction
dc.typetext

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