Minkowski decomposition of Okounkov bodies on surfaces
Algebraic Geometry
2016-08-11 v1
Abstract
We prove that the Okounkov body of a big divisor with respect to a general flag on a smooth projective surface whose pseudo-effective cone is rational polyhedral decomposes as the Minkowski sum of finitely many simplices and line segments arising as Okounkov bodies of nef divisors.
Keywords
Cite
@article{arxiv.1304.4246,
title = {Minkowski decomposition of Okounkov bodies on surfaces},
author = {Patrycja Łuszcz-Świdecka and David Schmitz},
journal= {arXiv preprint arXiv:1304.4246},
year = {2016}
}
Comments
13 pages, 5 figures