On Albanese torsors and the elementary obstruction

By Olivier Wittenberg. 2006

49 citations recorded by the source corpus.

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.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/ddb57b1a7deeab655c67b55f102c767fa25d09ba