Uniform bounds and ultraproducts of cycles

dc.creatorBrünjes, Lars
dc.creatorSerpé, Christian
dc.date2009-01-30
dc.date.accessioned2026-07-07T12:36:28Z
dc.date.available2026-07-07T12:36:28Z
dc.descriptionThis paper is about the question whether a cycle in the l-adic cohomology of a smooth projective variety over the rational numbers, which is algebraic over almost all finite fields, is also algebraic over the rationals. We use ultraproducts respectively nonstandard techniques in the sense of A. Robinson, which the authors applied systematically to algebraic geometry. We give a reformulation of the question in form of uniform bounds for the complexity of algebraic cycles over finite fields.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/0901.4853
dc.identifierhttp://arxiv.org/abs/0901.4853
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/218103
dc.subjectAlgebraic Geometry
dc.subjectLogic
dc.subject14G13 (Primary) 14C25,14F20 (Secondary)
dc.titleUniform bounds and ultraproducts of cycles
dc.typetext

Files

Collections