Bloch's Conjecture and Chow Motives

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dc.creatorSaito, Morihiko
dc.date2000-02-01
dc.date2000-02-07
dc.date.accessioned2026-07-07T04:33:32Z
dc.date.available2026-07-07T04:33:32Z
dc.descriptionLet X be a complex surface with no nontrivial 2-forms. Then we show that Bloch's conjecture is true (i.e. the Albanese map in this case is injective) if and only if any homologically trivial idempotent in the ring of correspondences vanishes. Furthermore the cube of the ideal of homologically trivial correspondences is zero if these equivalent conditions are satisfied (e.g. if X is not of general type).
dc.descriptionAMS-TeX, 7 pages; minor change
dc.identifierhttps://arxiv.org/abs/math/0002009
dc.identifierhttp://arxiv.org/abs/math/0002009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58611
dc.subjectAlgebraic Geometry
dc.subject14C30, 32S35
dc.titleBloch's Conjecture and Chow Motives
dc.typetext

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