Zero-cycles on a twisted Cayley plane

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dc.creatorPetrov, V.
dc.creatorSemenov, N.
dc.creatorZainoulline, K.
dc.date2005-08-11
dc.date2005-09-22
dc.date.accessioned2026-07-07T09:25:19Z
dc.date.available2026-07-07T09:25:19Z
dc.descriptionThis is an essentially extended version of the preprint dated by August 2005 (this includes now the varieties of types F_4, E_6 and E_7). Let k be a field of characteristic not 2 and 3. Let G be an exceptional simple algebraic group of type F_4, inner type E_6 or E_7 with trivial Tits algebras. Let X be a projective G-homogeneous variety. If G is of type E_7 we assume in addition that the respective parabolic subgroup is of type P_7. The main result of the paper says that the degree map on the group of zero cycles of X is injective.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/math/0508200
dc.identifierhttp://arxiv.org/abs/math/0508200
dc.identifierCanadian Math. Bull. 51 (2008), no.1, 114-124.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156367
dc.subjectAlgebraic Geometry
dc.subjectGroup Theory
dc.subject57T15; 19E15
dc.titleZero-cycles on a twisted Cayley plane
dc.typetext

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