Geodesic
On Global Okounkov Bodies of Spherical Varieties
Journal of Lie theory, Tome 29 (2019) no. 4, pp. 1031-1044
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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.
Classification : 14C20, 14M27
Mots-clés : Spherical varieties, Newton-Okounkov bodies 
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     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},
     url = {http://geodesic.mathdoc.fr/item/JLT_2019_29_4_JLT_2019_29_4_a8/}
}
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G. Pezzini; H. Seppaenen. On Global Okounkov Bodies of Spherical Varieties. Journal of Lie theory, Tome 29 (2019) no. 4, pp. 1031-1044. http://geodesic.mathdoc.fr/item/JLT_2019_29_4_JLT_2019_29_4_a8/