Okounkov bodies for ample line bundles

Abstract

Let $\mathcal{L}\to X$ be an ample line bundle over a nonsingular complex projective variety $X$. We construct an admissable flag $X_0\subseteq X_1\subseteq ...\subseteq X_n=X$ of subvarieties for which the associated Okounkov body for $\mathcal{L}$ is a rational polytope.

Cited by in corpus (1)

• Okounkov bodies of finitely generated divisors