Publication Date:
2015-09-03
Description:
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, and that the set of these polytopes corresponds to a finite Minkowski basis whose elements span the extremal rays in the secondary fan. In fact, the Minkowski basis does not depend on the choice of the $T$ -invariant flag. Moreover, we present an algorithm that computes the Minkowski basis.
Print ISSN:
0033-5606
Electronic ISSN:
1464-3847
Topics:
Mathematics
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