Polytopal realizations of finite type g-vector fans
This paper shows the polytopality of any finite type g-vector fan, acyclic or not. In
fact, for any finite Dynkin type Γ, we construct a universal associahedron Asso_un (Γ) with the
property that any g-vector fan of type Γ is the normal fan of a suitable projection of Asso_un (Γ).