Minkowski decomposition and generators of the moving cone for toric varieties

الأصل · EN

We prove that for smooth projective toric varieties, the Okounkov body of a T-invariant pseudo-effective divisor with respect to a T-invariant flag decomposes as a finite Minkowski sum of indecomposable polytopes. We prove that these indecomposable polytopes form a Minkowski base and that they correspond to the rays in the secondary fan. Moreover, we present an algorithm to find the Minkowski base.