Minkowski decomposition and generators of the moving cone for toric varieties
Algebraic Geometry
2016-01-20 v3
Abstract
We prove that for smooth projective toric varieties, the Okounkov body of a -invariant pseudo-effective divisor with respect to a -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.
Keywords
Cite
@article{arxiv.1310.8505,
title = {Minkowski decomposition and generators of the moving cone for toric varieties},
author = {Piotr Pokora and David Schmitz and Stefano Urbinati},
journal= {arXiv preprint arXiv:1310.8505},
year = {2016}
}
Comments
Version 2: one more section on how to perform a Minkowski decomposition for toric polytopes Version 3: minor changes