Brauer $p$-dimension of henselian discretely valued fields over characteristic $p>0$
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866910632108883968 |
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| author | Zhao, Yizhen |
| author_facet | Zhao, Yizhen |
| contents | We use Kato's Swan conductor to systematically investigate the Brauer $p$-dimension of henselian discretely valued fields of residual characteristic $p>0$. We transform the period-index problem of these fields into the symbol length problem for certain abelian groups relating to Kahler differentials of residue fields. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_02938 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Brauer $p$-dimension of henselian discretely valued fields over characteristic $p>0$ Zhao, Yizhen Number Theory Algebraic Geometry Rings and Algebras We use Kato's Swan conductor to systematically investigate the Brauer $p$-dimension of henselian discretely valued fields of residual characteristic $p>0$. We transform the period-index problem of these fields into the symbol length problem for certain abelian groups relating to Kahler differentials of residue fields. |
| title | Brauer $p$-dimension of henselian discretely valued fields over characteristic $p>0$ |
| topic | Number Theory Algebraic Geometry Rings and Algebras |
| url | https://arxiv.org/abs/2410.02938 |