# ag.algebraic geometry – Toric resolution in terms of polytopes

Let $$P,Qsubsetmathbb{R}^n$$ lattice polytopes such that $$P$$ and $$P’=P+Q$$ are smooth polytopes. We obtain the birational morphism $$f:X_{P’}to X_Q$$ and I am interested in a criterion when this is a resolution of singularities. Since $$X_{P’}$$ is smooth, we only need to check whether $$f$$ is an isomorphism away from the singularieties of $$X_Q$$. Can we phrase this nicely in terms of the lattice polytopes $$P$$ and $$Q$$?