Finiteness theorems for algebraic cycles of small codimension on quadric fibrations over curves

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We obtain finiteness theorems for algebraic cycles of small codimension on quadric fibrations X over curves over perfect fields k. For example, if k is finitely generated over Q and the fibration has odd relative dimension at least 11, then CH^{i}(X) is finitely generated for i<=4.
13 pages

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Number Theory, Algebraic Geometry, 14C25, 14C15

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http://salesiana.dossiersoluciones.com/handle/123456789/228128

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0809.2815
 http://arxiv.org/abs/0809.2815

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arXiv