On Albanese torsors and the elementary obstruction
Algebraic Geometry
2016-03-29 v2 Number Theory
Abstract
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.
Cite
@article{arxiv.math/0611284,
title = {On Albanese torsors and the elementary obstruction},
author = {Olivier Wittenberg},
journal= {arXiv preprint arXiv:math/0611284},
year = {2016}
}