Conjugate varieties with distinct real cohomology algebras

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dc.creatorCharles, François
dc.date2007-06-25
dc.date2008-07-15
dc.date.accessioned2026-07-07T09:49:55Z
dc.date.available2026-07-07T09:49:55Z
dc.descriptionUsing constructions of Voisin, we exhibit a smooth projective variety defined over a number field k and two complex embeddings of k, such that the two complex manifolds induced by these embeddings have non isomorphic cohomology algebras with real coefficients. This contrasts with the fact that the cohomology algebras with l-adic coefficients are canonically isomorphic for any prime number l, and answers a question of Grothendieck.
dc.description18 pages, final version
dc.identifierhttps://arxiv.org/abs/0706.3674
dc.identifierhttp://arxiv.org/abs/0706.3674
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/164767
dc.subjectAlgebraic Geometry
dc.titleConjugate varieties with distinct real cohomology algebras
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