Geodesic
Uniform $\mathrm{K}$-stability modulo a subgroup
Sbornik. Mathematics, Tome 212 (2021) no. 3, pp. 332-350 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper, we prove a version of uniform $\mathrm{K}$-stability for a pair $(v,w)$ with respect to a reductive Lie group $\mathbf G$ modulo a subgroup $\mathbf G_0$ of $\mathbf G$. Bibliography: 7 titles.
Keywords: uniform $\mathrm{K}$-stability, weights, polytopes. 
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Y. Li; G. Tian; X. Zhu. Uniform $\mathrm{K}$-stability modulo a subgroup. Sbornik. Mathematics, Tome 212 (2021) no. 3, pp. 332-350. http://geodesic.mathdoc.fr/item/SM_2021_212_3_a5/

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[6] Gang Tian, “Kähler–Einstein metrics on Fano manifolds”, Jpn. J. Math., 10:1 (2015), 1–41 | DOI | MR | Zbl

[7] G. Tian, On uniform $K$-stability of pairs, arXiv: 1812.05746