On global Okounkov bodies of spherical varieties
Algebraic Geometry
2017-10-02 v1 Representation Theory
Abstract
We define and study the global Okounkov moment cone of a projective spherical variety X, generalizing both the global Okounkov body and the moment body of X defined by Kaveh and Khovanskii. Under mild assumptions on X we show that the global Okounkov moment cone of X is rational polyhedral. As a consequence, also the global Okounkov body of X, with respect to a particular valuation, is rational polyhedral.
Keywords
Cite
@article{arxiv.1709.10162,
title = {On global Okounkov bodies of spherical varieties},
author = {Guido Pezzini and Henrik Seppänen},
journal= {arXiv preprint arXiv:1709.10162},
year = {2017}
}
Comments
10 pages; preliminary version