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

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

2008-09-16

arxiv.org/abs/0809.2815v3

Mathematics

Number Theory

13 pages

Scientific paper

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.

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