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arXiv:1310.8505 [math.AG]AbstractReferencesReviewsResources

Minkowski decomposition and generators of the moving cone for toric varieties

Piotr Pokora, David Schmitz, Stefano Urbinati

Published 2013-10-31, updated 2015-02-24Version 3

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.

Comments: Version 2: one more section on how to perform a Minkowski decomposition for toric polytopes Version 3: minor changes
Categories: math.AG
Subjects: 14C20, 14M25
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