Cycles over fields of transcendence degree one

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dc.creatorGreen, Mark
dc.creatorGriffiths, Philip A.
dc.creatorParanjape, Kapil Hari
dc.date2002-11-18
dc.date2003-07-11
dc.date.accessioned2026-07-07T04:53:02Z
dc.date.available2026-07-07T04:53:02Z
dc.descriptionWe extend earlier examples provided by Schoen, Nori and Bloch to show that when a surface has the property that the kernel of its Albanese map is non-zero over the field of complex numbers, this kernel is non-zero over a field of transcendence degree one. This says that the conjecture of Bloch and Beilinson that this kernel is zero for varieties over number fields is precise in the sense that it is not valid for fields of transcendence degree one.
dc.descriptionLaTeX2e; amsart format; 6 pages; PostFinal version: Corrected some typos
dc.identifierhttps://arxiv.org/abs/math/0211270
dc.identifierhttp://arxiv.org/abs/math/0211270
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65692
dc.subjectAlgebraic Geometry
dc.subject14C25; 14G27
dc.titleCycles over fields of transcendence degree one
dc.typetext

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