  In this paper we study a notion of volume for Cartier divisors on arbitrary
blow-ups of normal complex algebraic varieties of dimension greater than one,
with a distinguished point. We apply this to study a volume for normal isolated
singularities, generalizing work on surfaces done by Wahl. We also compare this
volume of isolated singularities to a different generalization due to Boucksom,
de Fernex and Favre.
