On Albanese torsors and the elementary obstruction

Details On Albanese torsors and the elementary obstruction On Albanese torsors and the elementary obstruction

2006-11-09

arxiv.org/abs/math/0611284v2

Mathematics

Algebraic Geometry

Scientific paper

We show that the elementary obstruction to the existence of 0-cycles of
degree 1 on an arbitrary variety X (over an arbitrary field) can be expressed
in terms of the Albanese 1-motives associated with dense open subsets of X.
Arithmetic applications are given.

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