  Let $L$ be a nef and big line bundle on a scheme $X$. It is well known that
if $X$ is a projective over a field then the augmented base locus and the
exceptional base locus agree. This result is extended to projective schemes
over arbitrary excellent Noetherian bases, assuming the result holds in
characteristic zero. In particular the result holds if the base is a mixed
characteristic Dedekind domain or if $L$ is semiample in characteristic $0$.
