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Okounkov bodies for ample line bundles (1007.1915v3)
Published 12 Jul 2010 in math.CV, math.AG, and math.RT
Abstract: Let $\mathscr{L} \rightarrow X$ 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 $\mathscr{L}$ is a rational polytope.