Specialization of zero cycles

dc.creatorKollár, János
dc.date2002-05-14
dc.date.accessioned2026-07-07T04:48:29Z
dc.date.available2026-07-07T04:48:29Z
dc.descriptionThe paper has two parts. First we prove that the specialization maps on R-equivalence and on the Chow group of zero cycles are isomorphisms for families over a local, Henselian, Dedekind ring when the special fiber is smooth and separably rationally connected. This is pretty much the best one can hope for. The second part contains examples of unirational quartic hypersurfaces whith infinitely many R-equivalence classes. There are also examples of quartics with points in a large odd degree field extension but no points in any smaller odd degree extension.
dc.identifierhttps://arxiv.org/abs/math/0205148
dc.identifierhttp://arxiv.org/abs/math/0205148
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64065
dc.subjectAlgebraic Geometry
dc.subject14C15, 14G27, 14M20 (primary) 14D15 (secondary)
dc.titleSpecialization of zero cycles
dc.typetext

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