  The paper deals with the a posteriori error analysis of a virtual element
method for the Steklov eigenvalue problem. The virtual element method has the
advantage of using general polygonal meshes, which allows implementing very
efficiently mesh refinement strategies. We introduce a residual type a
posteriori error estimator and prove its reliability and efficiency. We use the
corresponding error estimator to drive an adaptive scheme. Finally, we report
the results of a couple of numerical tests, that allow us to assess the
performance of this approach.
