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

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Central European Journal of Mathematics

Abstract

We obtain finiteness theorems for algebraic cycles of small codimension on quadric fibrations over curves over perfect fields. For example, if k is finitely generated over ℚ and X → C is a quadric fibration of odd relative dimension at least 11, then CH i(X) is finitely generated for i ≤ 4.

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Authors and Affiliations

  1. Departamento de Matemáticas, Universidad de La Serena, La Serena, Chile

    Cristian D. González-Avilés

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  1. Cristian D. González-Avilés
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Correspondence to Cristian D. González-Avilés.

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González-Avilés, C.D. Finiteness theorems for algebraic cycles of small codimension on quadric fibrations over curves. centr.eur.j.math. 7, 606–616 (2009). https://doi.org/10.2478/s11533-009-0043-2

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  • DOI: https://doi.org/10.2478/s11533-009-0043-2

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