Finiteness theorems for algebraic cycles of small codimension on quadric fibrations over curves
Number Theory
2009-04-24 v3 Algebraic Geometry
Abstract
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.
Cite
@article{arxiv.0809.2815,
title = {Finiteness theorems for algebraic cycles of small codimension on quadric fibrations over curves},
author = {Cristian D. González-Avilés},
journal= {arXiv preprint arXiv:0809.2815},
year = {2009}
}
Comments
13 pages