On Albanese torsors and the elementary obstruction
classification
🧮 math.AG
math.NT
keywords
albanesearbitraryelementaryobstructionapplicationsarithmeticassociatedcycles
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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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