2024/10/03 by Zhao, Yizhen
#Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT) #Rings and Algebras (math.RA)
paper · doi:10.48550/arxiv.2410.02938
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.