arXiv:0809.2815 Abstract | arXiv Analytics

arXiv:0809.2815 [math.NT]Abstract References Reviews Resources

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

Published 2008-09-16, updated 2009-04-24Version 3

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.

Comments: 13 pages

Categories: math.NT, math.AG

Subjects: 14C25, 14C15

Keywords: algebraic cycles, small codimension, quadric fibrations, finiteness theorems, perfect fields

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