  We give a geometric description of the pair $(V,p)$, where $V$ is an affine
algebraic variety over a non-trivially valued algebraically closed field $K$
with valuation ring $\mathcal{O}_K$ and $p$ is a Zariski dense generically
stable type concentrated on $V$, by defining a fully faithful functor to the
category of schemes over $\mathcal{O}_K$ with residual dominant morphisms over
$\mathcal{O}_K$.
  We also study a maximum modulus principle on schemes over $\mathcal{O}_K$ and
show that the schemes obtained by this functor enjoy it.
