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Let $k$ be a field, and let $L$ be an \'etale k-algebra of finite rank. If$a$ is a nonzero element in $k$, let $X_a$ be the affine variety defined by thenorm equation $N_{L/k}(x) = a$. Assuming that $L$ has at least one factor thatis a cyclic field extension of $k$, we give a combinatorial description of theunramified Brauer group of $X_a$.

Norm tori of etale algebras and unramified Brauer groups