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math.AG2020★ 6 cited
The Yau-Tian-Donaldson conjecture for cohomogeneity one manifolds
Thibaut Delcroix
We prove the Yau-Tian-Donaldson conjecture for cohomogeneity one manifolds, that is, for projective manifolds equipped with a holomorphic action of a compact Lie group with at leas…
math.AG2020★ 13 cited
Uniform K-stability of polarized spherical varieties
Thibaut Delcroix
We express notions of K-stability of polarized spherical varieties in terms of combinatorial data, vastly generalizing the case of toric varieties. We then provide a combinatorial…