Brauer $p$-dimension of henselian discretely valued fields over characteristic $p>0$

Yizhen Zhao

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arXiv · 2410.02938

Brauer $p$-dimension of henselian discretely valued fields over characteristic $p>0$

Yizhen Zhao

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Abstract

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.

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Yizhen Zhao. 2024-10-03. Brauer $p$-dimension of henselian discretely valued fields over characteristic $p>0$. https://arxiv.org/abs/2410.02938

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