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.
1
Dip. di Matematica "G. Castelnuovo", Università "La Sapienza", Piazzale A. Moro 5, 00185 Roma, Italy
2
Mathematisches Institut, Georg-August-Universität, Bunsenstrasse 3-5, 37073 Göttingen, Germany
Guido Pezzini; Henrik Seppänen. On Global Okounkov Bodies of Spherical Varieties. Journal of Lie Theory, Tome 29 (2019) no. 4, pp. 1031-1044. http://geodesic.mathdoc.fr/item/JOLT_2019_29_4_a8/
@article{JOLT_2019_29_4_a8,
author = {Guido Pezzini and Henrik Sepp\"anen},
title = {On {Global} {Okounkov} {Bodies} of {Spherical} {Varieties}},
journal = {Journal of Lie Theory},
pages = {1031--1044},
year = {2019},
volume = {29},
number = {4},
url = {http://geodesic.mathdoc.fr/item/JOLT_2019_29_4_a8/}
}
TY - JOUR
AU - Guido Pezzini
AU - Henrik Seppänen
TI - On Global Okounkov Bodies of Spherical Varieties
JO - Journal of Lie Theory
PY - 2019
SP - 1031
EP - 1044
VL - 29
IS - 4
UR - http://geodesic.mathdoc.fr/item/JOLT_2019_29_4_a8/
ID - JOLT_2019_29_4_a8
ER -
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%T On Global Okounkov Bodies of Spherical Varieties
%J Journal of Lie Theory
%D 2019
%P 1031-1044
%V 29
%N 4
%U http://geodesic.mathdoc.fr/item/JOLT_2019_29_4_a8/
%F JOLT_2019_29_4_a8
