On the first Steenrod square for Chow groups
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
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| _version_ | 1866912184062181376 |
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| author | Haution, Olivier |
| author_facet | Haution, Olivier |
| contents | We construct a weak version of the homological first Steenrod square, a natural transformation from the modulo two Chow group to the Chow group modulo two and two-torsion. No assumption is made on the characteristic of the base field. As an application, we generalize a theorem of Nikita Karpenko on the parity of the first Witt index of quadratic forms to the case of a base field of characteristic two. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_06199 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the first Steenrod square for Chow groups Haution, Olivier Algebraic Geometry We construct a weak version of the homological first Steenrod square, a natural transformation from the modulo two Chow group to the Chow group modulo two and two-torsion. No assumption is made on the characteristic of the base field. As an application, we generalize a theorem of Nikita Karpenko on the parity of the first Witt index of quadratic forms to the case of a base field of characteristic two. |
| title | On the first Steenrod square for Chow groups |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2501.06199 |