Generalized Brauer dimension and other arithmetic invariants of semi-global fields

שלחו לחבר
Dr. Saurabh Gosavi (Bar-Ilan University)
28/10/2020 - 11:30 - 10:30
Zoom -- see invitation below

Given a finite set of Brauer classes B of a fixed period \ell, we define eind(B) to be the minimum of degrees of field extensions L/F such that b \otimes_F L = 0 for every b in B. We provide upper bounds for eind(B) which depend on invariants of fields of lower arithmetic complexity, for B in the Brauer group of a semi-global field. As a simple application of our result, we obtain an upper bound for the splitting index of quadratic forms and finiteness of symbol length for function fields of curves over higher-local fields.


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