On zero-cycles of varieties over Laurent fields

Research output: Working paper/Preprint › Preprint

Authors

  • Jan Lange

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Original languageEnglish
Publication statusE-pub ahead of print - 22 Feb 2024

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.

Keywords

    math.AG, 14C25, 14M22, 14M25

Cite this

On zero-cycles of varieties over Laurent fields. / Lange, Jan.
2024.

Research output: Working paper/Preprint › Preprint

Lange, J. (2024). On zero-cycles of varieties over Laurent fields. Advance online publication.
Lange J. On zero-cycles of varieties over Laurent fields. 2024 Feb 22. Epub 2024 Feb 22.
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