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On Albanese torsors and the elementary obstruction |
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| Authors: | Olivier Wittenberg |
| Affiliation: | (1) Department of Mathematics, Rice University, 6100 S. Main St., Houston, TX 77251-1892, USA |
| 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. |
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