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arXiv · 2402.14406

On zero-cycles of varieties over Laurent fields

Jan Lange
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Abstract

We generalize a recent result of Pavic--Schreieder regarding the surjectivity of the obstruction morphism defined in [PS23]. As a consequence of this result, we show that geometrically (retract) rational varieties over a Laurent field of characteristic 0, which admit a strictly semi-stable model, have trivial Chow group of zero-cycles. Our key new ingredient comes from toric geometry.

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Jan Lange. 2024-02-22. On zero-cycles of varieties over Laurent fields. https://arxiv.org/abs/2402.14406

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