Brauer $p$-dimension and Kato's Swan Conductor

Autor:	Zhao, Yizhen
Rok vydání:	2024
Předmět:	Mathematics - Algebraic Geometry Mathematics - Number Theory Mathematics - Rings and Algebras
Druh dokumentu:	Working Paper
Popis:	We use Kato's Swan conductor to study the Brauer $p$-dimension of fields of characteristic $p>0$. We mainly investigate two types of fields: henselian discretely valued fields and semi-global fields. While investigating the Brauer $p$-dimension of semi-global fields, we use a Gersten-type sequence to analyse the ramification behavior of a Brauer class in a $2$-dimensional regular local ring. Using this result, we give a partial result on the Brauer $p$-dimension of function fields of algebraic curves over $\bar{k}((t))$ with good reduction. Comment: 31 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2410.02926 Zobrazit plný text záznamu View this record from Arxiv