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Relation in Brauer group coming from trace form

$\newcommand{\tr}{\operatorname{tr}}\newcommand{\Ell}{\operatorname{Ell}}$That was quicker to solve than I expected. Consider the trace map $$ \tr : GW(L) \to GW(K) $$ between the Grothendieck-Witt ri …
Evan O'Dorney's user avatar
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Relation in Brauer group coming from trace form

Let $L/K$ be a cubic (or, more generally, odd-order) extension of fields of characteristic $0$. To every element $a \in L^\times$ we can associate the quadratic form \begin{align*} q_a : L &\to K \\ x …
Evan O'Dorney's user avatar