Some abelian threefolds with nontrivial Griffiths group
David S. Zelinsky (1991)
Compositio Mathematica
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David S. Zelinsky (1991)
Compositio Mathematica
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J. S. Milne (1982)
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J. S. Milne (1988)
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Cristian González-Avilés (2009)
Open Mathematics
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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.
Hiroshi Saito (1992)
Compositio Mathematica
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Chad Schoen (1995)
Annales scientifiques de l'École Normale Supérieure
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S. Bloch, J. P. Murre (1979)
Compositio Mathematica
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