Bloch's Conjecture and Chow Motives

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Let 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).
AMS-TeX, 7 pages; minor change

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Algebraic Geometry, 14C30, 32S35

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http://salesiana.dossiersoluciones.com/handle/123456789/58611

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0002009
 http://arxiv.org/abs/math/0002009

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arXiv