On zero-cycles of varieties over Laurent fields
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910340472635392 |
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| author | Lange, Jan |
| author_facet | Lange, Jan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_14406 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On zero-cycles of varieties over Laurent fields Lange, Jan Algebraic Geometry 14C25, 14M22, 14M25 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. |
| title | On zero-cycles of varieties over Laurent fields |
| topic | Algebraic Geometry 14C25, 14M22, 14M25 |
| url | https://arxiv.org/abs/2402.14406 |