The well known work of Kleiman, shows that several properties of invertible sheaves on schemes, such as ampleness or nefness, are nicely described by their numerical data using the language of cones. In this talk we will focus on the different types of cones of divisors arising in the context of projective morphisms. We give generalized versions of some classical results and exhibit a construction of a non-polyhedral nef cone for a sequence of blowups with smooth centers of a 4-fold.