Journal of Lie Theory

no. 4
On Global Okounkov Bodies of Spherical Varieties
Journal of Lie Theory, Volume 29 (2019) no. 4, pp. 1031-1044
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.
DOI: 10.5802/jolt.1091
Classification: 14C20, 14M27
Keywords: Spherical varieties, Newton-Okounkov bodies 
@article{JOLT_2019_29_4_a8,
     author = {G. Pezzini and H. Seppaenen},
     title = {On {Global} {Okounkov} {Bodies} of {Spherical} {Varieties}},
     journal = {Journal of Lie Theory},
     pages = {1031--1044},
     year = {2019},
     volume = {29},
     number = {4},
     doi = {10.5802/jolt.1091},
     zbl = {1436.14019},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1091/}
}
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G. Pezzini; H. Seppaenen. On Global Okounkov Bodies of Spherical Varieties. Journal of Lie Theory, Volume 29 (2019) no. 4, pp. 1031-1044. doi: 10.5802/jolt.1091

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