  Divisorial stability of a polarised variety is a stronger - but conjecturally
equivalent - variant of uniform K-stability introduced by Boucksom-Jonsson.
Whereas uniform K-stability is defined in terms of test configurations,
divisorial stability is defined in terms of convex combinations of divisorial
valuations on the variety.
  We consider the behaviour of divisorial stability under finite group actions,
and prove that equivariant divisorial stability of a polarised variety is
equivalent to log divisorial stability of its quotient. We use this and an
interpolation technique to give a general construction of equivariantly
divisorially stable polarised varieties.
